Wikipedia:WikiProject Mathematics/PlanetMath Exchange/11-XX Number theory

11-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

 * PM: \pi and \pi^2 are irrational, id=6365 -- WP: pi -- Status: N
 * AdamSmithee 09:31, 16 January 2006 (UTC)


 * PM: arithmetic mean, id=405 -- WP: arithmetic mean -- Status: A
 * CryptoDerk 14:29, May 2, 2005 (UTC)


 * PM: ceiling, id=346 -- WP: floor function -- Status: A
 * CryptoDerk 14:47, May 2, 2005 (UTC)


 * PM: computation of powers using Fermat's little theorem, id=3794 -- WP: Fermat's little theorem -- Status: NM
 * There should also be a link to the method from Modular arithmetic - AdamSmithee 15:35, 30 December 2005 (UTC)


 * PM: congruence, id=101 -- WP: Modular arithmetic -- Status: NM
 * Can be used to expand properties AdamSmithee 15:35, 30 December 2005 (UTC)


 * PM: coprime, id=225 -- WP: coprime -- Status: A
 * CryptoDerk 17:41, May 2, 2005 (UTC)


 * PM: cube root, id=748 -- WP: cube root -- Status: M
 * CryptoDerk 17:58, May 2, 2005 (UTC)


 * PM: Euler phi-function, id=196 -- WP: Euler's phi function -- Status: A
 * linas 22:12, 12 Mar 2005 (UTC)


 * PM: Euler-Fermat theorem, id=198 -- WP: Euler's theorem -- Status: A
 * CryptoDerk 18:00, May 2, 2005 (UTC)


 * PM: Fermat's little theorem, id=195 -- WP: Fermat's little theorem -- Status: A
 * CryptoDerk 18:09, May 2, 2005 (UTC)


 * PM: Fermat's theorem proof, id=223 -- WP: Proofs of Fermat's little theorem -- Status: A
 * Hv 08:58, 5 August 2005 (UTC)


 * PM: floor, id=343 -- WP: floor function -- Status: A
 * CryptoDerk 20:53, May 2, 2005 (UTC)


 * PM: generalization of Euler-Fermat theorem, id=5882 -- WP (none) -- Status: N
 * Charles Matthews 10:26, 25 October 2005 (UTC)


 * PM: geometric mean, id=407 -- WP: geometric mean -- Status: A
 * CryptoDerk 18:27, May 3, 2005 (UTC)


 * PM: Goldbach's conjecture, id=1602 -- WP: Goldbach's conjecture -- Status: A
 * linas 23:53, 12 Mar 2005 (UTC)


 * PM: googol, id=2456 -- WP: googol -- Status: A
 * Jeekc 11:25, 8 November 2005 (UTC)


 * PM: googolplex, id=2457 -- WP: googolplex -- Status: A
 * Jeekc 11:25, 8 November 2005 (UTC)


 * PM: greatest common divisor, id=248 -- WP: greatest common divisor -- Status: NM
 * Could use a remark on generalizing to gcd of more than 2 numbers AdamSmithee 15:35, 30 December 2005 (UTC)


 * PM: group theoretic proof of Wilson's theorem, id=4214 -- WP: Wilson theorem -- Status: N
 * AdamSmithee 15:35, 30 December 2005 (UTC)


 * PM: harmonic mean, id=408 -- WP: harmonic mean -- Status: A
 * AdamSmithee 15:35, 30 December 2005 (UTC)


 * PM: Jordan's totient function, id=10 -- WP guess: Jordan's totient function -- Status:


 * PM: least common multiple, id=5723 -- WP: least common multiple -- Status: NM
 * see also greatest common divisor - AdamSmithee 15:35, 30 December 2005 (UTC)


 * PM: Legendre symbol, id=183 -- WP: Legendre symbol -- Status: A
 * linas 22:40, 12 Mar 2005 (UTC)


 * PM: mean, id=3028 -- WP: mean -- Status: A
 * Jeekc 11:25, 8 November 2005 (UTC)


 * PM: mutually coprime, id=5760 -- WP: mutually coprime -- Status: A
 * AdamSmithee 21:58, 30 December 2005 (UTC)


 * PM: number field, id=1128 -- WP guess: number field -- Status:


 * PM: pi, id=432 -- WP guess: pi -- Status:


 * PM: proof of a corollary to Euler-Fermat theorem, id=5884 -- WP guess: proof of a corollary to Euler-Fermat theorem -- Status: N
 * AdamSmithee 09:31, 16 January 2006 (UTC)


 * PM: proof of Euler-Fermat theorem using Lagrange's theorem, id=5898 -- WP: proof of Euler-Fermat theorem using Lagrange's theorem -- Status: A
 * AdamSmithee 21:58, 30 December 2005 (UTC)


 * PM: proof of Fermat's little theorem using Lagrange's theorem, id=5895 -- WP: Proofs of Fermat's little theorem -- Status: A
 * Hv 09:18, 5 August 2005 (UTC)


 * PM: proof of fundamental theorem of arithmetic, id=336 -- WP: fundamental theorem of arithmetic -- Status: A
 * linas 00:34, 13 Mar 2005 (UTC)


 * PM: Proof of Pythagorean triples, id=5989 -- WP: Pythagorean triplet -- Status: N
 * Not a particularly illuminating proof AdamSmithee 13:02, 5 January 2006 (UTC)


 * PM: proof of Wilson's theorem, id=1343 -- WP: Wilson theorem -- Status: A
 * AdamSmithee 15:35, 30 December 2005 (UTC)


 * PM: Pythagorean triplet, id=138 -- WP: Pythagorean triplet -- Status: A
 * AdamSmithee 13:02, 5 January 2006 (UTC)


 * PM: root of unity, id=351 -- WP guess: root of unity -- Status:


 * PM: square, id=1087 -- WP: square number -- Status: A
 * CryptoDerk 22:20, Mar 12, 2005 (UTC)


 * PM: Wilson's theorem, id=11 -- WP: Wilson's theorem -- Status: A
 * linas 23:49, 12 Mar 2005 (UTC)


 * PM: Wilson's theorem result, id=5818 -- WP guess: Wilson's theorem result -- Status: N, trite
 * Charles Matthews 10:30, 25 October 2005 (UTC)


 * PM: \mathrm{lcm}(ma,mb) =m \mathrm{lcm}(a,b), id=6774 -- WP guess: \mathrmlcm(ma,mb) =m \mathrmlcm(a,b) -- Status:


 * PM: bibliography for number theory, id=5681 -- WP guess: bibliography for number theory -- Status:


 * PM: cyclotomic extension, id=6813 -- WP guess: cyclotomic extension -- Status:


 * PM: first primitive Pythagorean triplets, id=7289 -- WP guess: first primitive Pythagorean triplets -- Status:


 * PM: Germain prime, id=6131 -- WP: Germain prime -- Status: A
 * AdamSmithee 08:39, 8 March 2006 (UTC)


 * PM: proof of Wilson's theorem result, id=6856 -- WP guess: proof of Wilson's theorem result -- Status: N
 * AdamSmithee 08:39, 8 March 2006 (UTC)


 * PM: Sierpinski conjecture, id=4184 -- WP guess: Sierpinski conjecture -- Status:


 * PM: square of sum, id=7427 -- WP guess: square of sum -- Status:


 * PM: {\mathbb{Z}}_n, id=7985new! -- WP guess: \mathbbZ_n -- Status:


 * PM: abelian number field, id=8063new! -- WP guess: abelian number field -- Status:


 * PM: Artin's conjecture on primitive roots, id=8485new! -- WP guess: Artin's conjecture on primitive roots -- Status:


 * PM: converting a repeating decimal to a fraction, id=9185new! -- WP guess: converting a repeating decimal to a fraction -- Status:


 * PM: cyclotomic field, id=9486new! -- WP guess: cyclotomic field -- Status:


 * PM: every prime has a primitive root, id=8477new! -- WP guess: every prime has a primitive root -- Status:


 * PM: existence and uniqueness of the gcd of two integers, id=8645new! -- WP guess: existence and uniqueness of the gcd of two integers -- Status:


 * PM: existence of primitive roots for powers of an odd prime, id=8484new! -- WP guess: existence of primitive roots for powers of an odd prime -- Status:


 * PM: extracting every n^\mathrm{th} term of a series, id=8538new! -- WP guess: extracting every n^\mathrmth term of a series -- Status:


 * PM: fractional part, id=8338new! -- WP guess: fractional part -- Status:


 * PM: Goldbach representations for even 7 &lt; n &lt; 101, id=9805new! -- WP guess: Goldbach representations for even 7 &lt; n &lt; 101 -- Status:


 * PM: index of an integer with respect to a primitive root, id=8480new! -- WP guess: index of an integer with respect to a primitive root -- Status:


 * PM: integer part, id=8337new! -- WP guess: integer part -- Status:


 * PM: moving average, id=8976new! -- WP guess: moving average -- Status:


 * PM: multiplicative order of an integer modulo m, id=8476new! -- WP guess: multiplicative order of an integer modulo m -- Status:


 * PM: primitive root, id=8133new! -- WP guess: primitive root -- Status:


 * PM: properties of primitive roots, id=8479new! -- WP guess: properties of primitive roots -- Status:


 * PM: properties of the index of an integer with respect to a primitive root, id=8481new! -- WP guess: properties of the index of an integer with respect to a primitive root -- Status:


 * PM: properties of the Legendre symbol, id=8418new! -- WP guess: properties of the Legendre symbol -- Status:


 * PM: properties of the multiplicative order of an integer, id=8478new! -- WP guess: properties of the multiplicative order of an integer -- Status:


 * PM: Pythagorean n-tuple, id=9198new! -- WP guess: Pythagorean n-tuple -- Status:


 * PM: Ramanujan's formula for pi, id=7896new! -- WP guess: Ramanujan's formula for pi -- Status:


 * PM: residue systems, id=9221new! -- WP guess: residue systems -- Status:


 * PM: result on quadratic nonresidues, id=8207new! -- WP guess: result on quadratic nonresidues -- Status:


 * PM: using primitive roots and index to solve congruences, id=8483new! -- WP guess: using primitive roots and index to solve congruences -- Status:


 * PM: values of the Legendre symbol, id=8425new! -- WP guess: values of the Legendre symbol -- Status:

11-01 Instructional exposition (textbooks, tutorial papers, etc.)

 * PM: base, id=3313 -- WP: Base (mathematics) -- Status: A
 * Simon12 02:49, 30 July 2006 (UTC)


 * PM: fraction, id=2818 -- WP: fraction (mathematics) -- Status: A
 * AdamSmithee 13:10, 5 January 2006 (UTC)


 * PM: number theory, id=5541 -- WP guess: number theory -- Status:


 * PM: algebraic number theory, id=6878 -- WP guess: algebraic number theory -- Status:


 * PM: summed numerator and summed denominator, id=7203 -- WP guess: summed numerator and summed denominator -- Status:


 * PM: analytic number theory, id=8025new! -- WP guess: analytic number theory -- Status:


 * PM: calculator and CAS support for various positional bases, id=9177new! -- WP guess: calculator and CAS support for various positional bases -- Status:


 * PM: decimal fraction, id=9836new! -- WP guess: decimal fraction -- Status:

11A05 Multiplicative structure; Euclidean algorithm; greatest common divisors

 * PM: alternative proof of Euclid's lemma, id=5641 -- WP guess: alternative proof of Euclid's lemma -- Status:


 * PM: Bezout's lemma (number theory), id=2954 -- WP: Bezout's identity -- Status: A
 * linas 00:31, 13 Mar 2005 (UTC)


 * PM: Chinese remainder theorem, id=1729 -- WP: Chinese remainder theorem -- Status: A
 * linas 23:18, 12 Mar 2005 (UTC)


 * PM: corollary of BÃ©zout's lemma, id=6459 -- WP: Bezout's identity -- Status: A
 * linas 00:37, 13 Mar 2005 (UTC)


 * PM: divisibility by prime number, id=6460 -- WP guess: divisibility by prime number -- Status:


 * PM: Euclid's algorithm, id=939 -- WP: Euclid's algorithm -- Status: A
 * Jeekc 11:32, 8 November 2005 (UTC)


 * PM: Euclid's lemma, id=249 -- WP: Euclid's lemma -- Status: A
 * Jeekc 11:32, 8 November 2005 (UTC)


 * PM: Euclid's lemma proof, id=258 -- WP: Euclid's lemma proof -- Status: A
 * Jeekc 11:32, 8 November 2005 (UTC)


 * PM: Euler product, id=5609 -- WP: Euler product -- Status: NM
 * linas 23:24, 12 Mar 2005 (UTC)


 * PM: fast Euclidean algorithm, id=6014 -- WP guess: fast Euclidean algorithm -- Status:


 * PM: fundamental theorem of arithmetic, id=221 -- WP: fundamental theorem of arithmetic -- Status: A
 * linas 00:28, 13 Mar 2005 (UTC)


 * PM: perfect number, id=206 -- WP guess: perfect number -- Status:


 * PM: probability that two positive integers are relatively prime, id=6625 -- WP: coprime -- Status: NM
 * Can be used to clarify the affirmation in the WP article, which is already challenged in the Talk section AdamSmithee 21:58, 30 December 2005 (UTC)


 * PM: proof of chinese remainder theorem, id=3316 -- WP guess: chinese remainder theorem -- Status: N
 * AdamSmithee 09:37, 16 January 2006 (UTC)


 * PM: smooth number, id=3855 -- WP: smooth number -- Status: A
 * linas 00:40, 13 Mar 2005 (UTC)


 * PM: Stern-Brocot tree, id=4361 -- WP: Stern-Brocot tree -- Status: NC
 * linas 23:14, 12 Mar 2005 (UTC)


 * PM: Sturm's theorem, id=6013 -- WP guess: Sturm's theorem -- Status:


 * PM: Euclid's coefficients, id=7038 -- WP guess: Euclid's coefficients -- Status:


 * PM: Python code to calculate Euclid's coefficients, id=7043 -- WP guess: Python code to calculate Euclid's coefficients -- Status:


 * PM: a formula for amicable pairs, id=7876new! -- WP guess: a formula for amicable pairs -- Status:


 * PM: abundance, id=8159new! -- WP guess: abundance -- Status:


 * PM: abundant number, id=7869new! -- WP guess: abundant number -- Status:


 * PM: amicable numbers, id=7875new! -- WP guess: amicable numbers -- Status:


 * PM: deficiency, id=9011new! -- WP guess: deficiency -- Status:


 * PM: deficient number, id=7868new! -- WP guess: deficient number -- Status:


 * PM: determination of abundant numbers with specified prime factors, id=9028new! -- WP guess: determination of abundant numbers with specified prime factors -- Status:


 * PM: determination of even abundant numbers with one odd prime factor, id=9031new! -- WP guess: determination of even abundant numbers with one odd prime factor -- Status:


 * PM: every even integer greater than 46 is the sum of two abundant numbers, id=8169new! -- WP guess: every even integer greater than 46 is the sum of two abundant numbers -- Status:


 * PM: every sufficiently large even integer can be expressed as the sum of a pair of abundant numbers, id=9014new! -- WP guess: every sufficiently large even integer can be expressed as the sum of a pair of abundant numbers -- Status:


 * PM: formula for sum of divisors, id=9026new! -- WP guess: formula for sum of divisors -- Status:


 * PM: Ore number, id=7950new! -- WP guess: Ore number -- Status:


 * PM: positive multiple of a semiperfect number is also semiperfect, id=8441new! -- WP guess: positive multiple of a semiperfect number is also semiperfect -- Status:


 * PM: positive multiple of an abundant number is abundant, id=8400new! -- WP guess: positive multiple of an abundant number is abundant -- Status:


 * PM: quasiperfect number, id=8160new! -- WP guess: quasiperfect number -- Status:


 * PM: sphenic number, id=8262new! -- WP guess: sphenic number -- Status:


 * PM: Thabit number, id=7882new! -- WP guess: Thabit number -- Status:


 * PM: theorem on multiples of abundant numbers, id=8158new! -- WP guess: theorem on multiples of abundant numbers -- Status:


 * PM: unitary perfect number, id=8453new! -- WP guess: unitary perfect number -- Status:


 * PM: untouchable number, id=7855new! -- WP guess: untouchable number -- Status:

11A07 Congruences; primitive roots; residue systems

 * PM: Anton's congruence, id=3914 -- WP guess: Anton's congruence -- Status:


 * PM: calculating the Jacobi symbol, id=6604 -- WP guess: Jacobi symbol -- Status: NM
 * AdamSmithee 13:15, 5 January 2006 (UTC)


 * PM: factorial modulo prime powers, id=3915 -- WP guess: factorial modulo prime powers -- Status:


 * PM: Fermat's Little Theorem proof (Inductive), id=312 -- WP: Proofs of Fermat's little theorem -- Status: A
 * Hv 09:07, 5 August 2005 (UTC)


 * PM: Jacobi symbol, id=2863 -- WP: Jacobi symbol -- Status: A
 * linas 22:37, 12 Mar 2005 (UTC)


 * PM: Kronecker symbol, id=6108 -- WP: Kronecker symbol -- Status: C
 * Still needs TeX attention beyond my abilities. Jtwdog 17:33, 28 October 2005 (UTC)


 * PM: polynomial congruence, id=5894 -- WP guess: polynomial congruence -- Status:


 * PM: proof of Euler-Fermat theorem, id=335 -- WP: Euler-Fermat theorem -- Status: NM
 * PM article has a better wording than WP AdamSmithee 21:58, 30 December 2005 (UTC)


 * PM: proof of Lucas's theorem, id=3917 -- WP guess: proof of Lucas's theorem -- Status:


 * PM: Shanks-Tonelli algorithm, id=621 -- WP guess: Shanks-Tonelli algorithm -- Status:


 * PM: Wieferich prime, id=4575 -- WP: Wieferich prime -- Status: A
 * linas 00:45, 13 Mar 2005 (UTC)


 * PM: Wilson's theorem for prime powers, id=3899 -- WP guess: Wilson's theorem for prime powers -- Status:


 * PM: prime residue class, id=7668new! -- WP guess: prime residue class -- Status:

11A15 Power residues, reciprocity

 * PM: cubic reciprocity law, id=4363 -- WP guess: cubic reciprocity law -- Status:


 * PM: discrete logarithm, id=6592 -- WP: discrete logarithm -- Status: NM
 * linas 23:26, 12 Mar 2005 (UTC)


 * PM: Euler's criterion, id=1965 -- WP: Euler's criterion -- Status: A
 * AdamSmithee 14:06, 5 January 2006 (UTC)


 * PM: Gauss' lemma, id=1955 -- WP guess: Gauss' lemma -- Status:


 * PM: proof of Euler's criterion, id=2980 -- WP: Euler's criterion -- Status: NM
 * WP proof never actually shows that if a is not a quadratic residue mod p then a(p &minus; 1)/2 &equiv; &minus;1 (mod p), so it could be combined with the PM proof AdamSmithee 14:06, 5 January 2006 (UTC)


 * PM: proof of quadratic reciprocity rule, id=3752 -- WP guess: proof of quadratic reciprocity rule -- Status:


 * PM: quadratic character of 2, id=4737 -- WP guess: quadratic character of 2 -- Status:


 * PM: quadratic reciprocity for polynomials, id=1488 -- WP guess: quadratic reciprocity for polynomials -- Status:


 * PM: quadratic reciprocity rule, id=12 -- WP guess: quadratic reciprocity rule -- Status:


 * PM: quadratic residue, id=622 -- WP: quadratic residue -- Status: A
 * linas 00:56, 13 Mar 2005 (UTC)


 * PM: Zolotarev's lemma, id=4043 -- WP guess: Zolotarev's lemma -- Status:


 * PM: cases when minus one is a quadratic residue, id=8424new! -- WP guess: cases when minus one is a quadratic residue -- Status:

11A25 Arithmetic functions; related numbers; inversion formulas

 * PM: arithmetic function, id=4584 -- WP: Dirichlet convolution -- Status: A
 * AdamSmithee 14:23, 5 January 2006 (UTC)


 * PM: character of a finite group, id=5600 -- WP guess: character of a finite group -- Status:


 * PM: Dirichlet character, id=3906 -- WP: Dirichlet character -- Status: A
 * linas 22:35, 12 Mar 2005 (UTC)


 * PM: Liouville function, id=257 -- WP: Liouville function -- Status: A
 * linas 22:55, 12 Mar 2005 (UTC)


 * PM: Mangoldt function, id=256 -- WP: Mangoldt function -- Status: A
 * Jtwdog 17:32, 28 October 2005 (UTC)


 * PM: Mertens' first theorem, id=222 -- WP guess: Mertens' first theorem -- Status:


 * PM: Moebius function, id=253 -- WP: Moebius function -- Status: A
 * linas 22:57, 12 Mar 2005 (UTC)


 * PM: Moebius inversion, id=252 -- WP: Moebius inversion formula -- Status: NM
 * linas 23:04, 12 Mar 2005 (UTC)


 * PM: multiplicative function, id=3097 -- WP: multiplicative function -- Status: A
 * linas 23:01, 12 Mar 2005 (UTC)


 * PM: non-multiplicative function, id=3098 -- WP: Multiplicative function -- Status: NM
 * PM has some more examples which could be used AdamSmithee 14:23, 5 January 2006 (UTC)


 * PM: practical number, id=5637 -- WP guess: practical number -- Status:


 * PM: prime counting function, id=3138 -- WP: prime-counting function -- Status: A
 * linas 23:11, 12 Mar 2005 (UTC)


 * PM: prime difference function, id=3143 -- WP guess: prime difference function -- Status: A
 * Chenxlee (talk) 18:58, 25 September 2008 (UTC)


 * PM: square root, id=747 -- WP: square root -- Status: A
 * linas 01:14, 13 Mar 2005 (UTC)


 * PM: sum of \frac{\mu(n)}{n}, id=5938 -- WP guess: sum of \frac\mu(n)n -- Status:


 * PM: the sum of the values of a character of a finite group is 0, id=5601 -- WP guess: the sum of the values of a character of a finite group is 0 -- Status:


 * PM: totient, id=4293 -- WP: totient -- Status: NC
 * WP redirect to be removed linas 23:08, 12 Mar 2005 (UTC)


 * PM: uniqueness of Moebius function, id=5745 -- WP guess: uniqueness of Moebius function -- Status:


 * PM: proof that Euler \phi is a multiplicative function, id=6781 -- WP guess: proof that Euler \phi is a multiplicative function -- Status:


 * PM: proof that number of positive divisors is a multiplicative function, id=6783 -- WP guess: proof that number of positive divisors is a multiplicative function -- Status:


 * PM: square root of square root binomial, id=7178 -- WP guess: square root of square root binomial -- Status:


 * PM: 2^{\omega(n)} \le \tau(n) \le 2^{\Omega(n)}, id=8194new! -- WP guess: 2^\omega(n) \le \tau(n) \le 2^\Omega(n) -- Status:


 * PM: \sigma function, id=8188new! -- WP guess: \sigma function -- Status:


 * PM: additive function, id=8184new! -- WP guess: additive function -- Status:


 * PM: aliquot sequence, id=8189new! -- WP guess: aliquot sequence -- Status:


 * PM: alternate proof of Möbius inversion formula, id=8684new! -- WP guess: alternate proof of Möbius inversion formula -- Status:


 * PM: arithmetic functions form a ring, id=8683new! -- WP guess: arithmetic functions form a ring -- Status:


 * PM: Bombieri-Vinogradov theorem, id=8578new! -- WP guess: Bombieri-Vinogradov theorem -- Status:


 * PM: Carmichael function, id=9557new! -- WP guess: Carmichael function -- Status:


 * PM: completely multiplicative functions whose convolution inverses are completely multiplicative, id=9182new! -- WP guess: completely multiplicative functions whose convolution inverses are completely multiplicative -- Status:


 * PM: composition of multiplicative functions, id=8247new! -- WP guess: composition of multiplicative functions -- Status:


 * PM: convolution inverses for arithmetic functions, id=7992new! -- WP guess: convolution inverses for arithmetic functions -- Status:


 * PM: criterion for a multiplicative function to be completely multiplicative, id=7995new! -- WP guess: criterion for a multiplicative function to be completely multiplicative -- Status:


 * PM: divisor sum of an arithmetic function, id=9428new! -- WP guess: divisor sum of an arithmetic function -- Status:


 * PM: elementary results about multiplicative functions and convolution, id=8197new! -- WP guess: elementary results about multiplicative functions and convolution -- Status:


 * PM: every positive integer greater than 30 has at least one composite totative, id=9247new! -- WP guess: every positive integer greater than 30 has at least one composite totative -- Status:


 * PM: examples of aliquot sequences, id=8237new! -- WP guess: examples of aliquot sequences -- Status:


 * PM: examples of perfect totient numbers, id=8829new! -- WP guess: examples of perfect totient numbers -- Status:


 * PM: existence of square roots of non-negative real numbers, id=8727new! -- WP guess: existence of square roots of non-negative real numbers -- Status:


 * PM: formula for the convolution inverse of a completely multiplicative function, id=9181new! -- WP guess: formula for the convolution inverse of a completely multiplicative function -- Status:


 * PM: iterated sum of divisors function, id=9351new! -- WP guess: iterated sum of divisors function -- Status:


 * PM: iterated totient function, id=8737new! -- WP guess: iterated totient function -- Status:


 * PM: Mertens conjecture, id=8130new! -- WP guess: Mertens conjecture -- Status:


 * PM: Mertens function, id=7836new! -- WP guess: Mertens function -- Status:


 * PM: noncototient, id=7938new! -- WP guess: noncototient -- Status:


 * PM: nonprincipal real characters \mod p are unique, id=8772new! -- WP guess: nonprincipal real characters \mod p are unique -- Status:


 * PM: nontotient, id=7840new! -- WP guess: nontotient -- Status:


 * PM: number of (nondistinct) prime factors function, id=8183new! -- WP guess: number of (nondistinct) prime factors function -- Status:


 * PM: number of distinct prime factors function, id=8180new! -- WP guess: number of distinct prime factors function -- Status:


 * PM: perfect totient number, id=8741new! -- WP guess: perfect totient number -- Status:


 * PM: pointwise multiplication of a completely multiplicative function distibutes over convolution, id=8022new! -- WP guess: pointwise multiplication of a completely multiplicative function distibutes over convolution -- Status:


 * PM: proof of the correspondence between even 2-superperfect numbers and Mersenne primes, id=9355new! -- WP guess: proof of the correspondence between even 2-superperfect numbers and Mersenne primes -- Status:


 * PM: proof that 4^x exceeds the product of the primes up to x, id=9373new! -- WP guess: proof that 4^x exceeds the product of the primes up to x -- Status:


 * PM: proof that 3 is the only prime perfect totient number, id=8765new! -- WP guess: proof that 3 is the only prime perfect totient number -- Status:


 * PM: proof that all powers of 3 are perfect totient numbers, id=8766new! -- WP guess: proof that all powers of 3 are perfect totient numbers -- Status:


 * PM: proof that the sum of the iterated totient function is always odd, id=8764new! -- WP guess: proof that the sum of the iterated totient function is always odd -- Status:


 * PM: Pólya's conjecture, id=8867new! -- WP guess: Pólya's conjecture -- Status:


 * PM: relationship between totatives and divisors, id=9463new! -- WP guess: relationship between totatives and divisors -- Status:


 * PM: sparsely totient number, id=9053new! -- WP guess: sparsely totient number -- Status:


 * PM: square root of 2, id=9874new! -- WP guess: square root of 2 -- Status:


 * PM: square root of 5, id=9855new! -- WP guess: square root of 5 -- Status:


 * PM: superperfect number, id=9352new! -- WP guess: superperfect number -- Status:


 * PM: totative, id=9246new! -- WP guess: totative -- Status:


 * PM: totient valence function, id=7832new! -- WP guess: totient valence function -- Status:


 * PM: values of 4^n and \displaystyle \prod_{i = 1}^{\pi(n)} p_i for 0 &lt; n &lt; 26, id=9374new! -- WP guess: values of 4^n and \displaystyle \prod_i = 1^\pi(n) p_i for 0 &lt; n &lt; 26 -- Status:

11A41 Primes

 * PM: Chebyshev functions, id=4573 -- WP: Chebyshev functions -- Status: A
 * linas 16:53, 4 July 2006 (UTC)


 * PM: composite number, id=2929 -- WP: composite number -- Status: NM
 * Composite elements of integral domains AdamSmithee 14:53, 5 January 2006 (UTC)


 * PM: Euclid's proof of the infinitude of primes, id=3036 -- WP: Prime number -- Status: A
 * AdamSmithee 21:58, 30 December 2005 (UTC)


 * PM: Fürstenberg's proof of the infinitude of primes, id=6315 -- WP guess: Fürstenberg's proof of the infinitude of primes -- Status:


 * PM: linear congruence, id=5763 -- WP guess: linear congruence -- Status:


 * PM: Mangoldt summatory function, id=4020 -- WP: Mangoldt summatory function -- Status: A
 * linas 00:58, 13 Mar 2005 (UTC)
 * linas 16:26, 4 July 2006 (UTC)


 * PM: Mersenne numbers, id=323 -- WP: Mersenne numbers -- Status: A
 * linas 00:58, 13 Mar 2005 (UTC)


 * PM: partial fractions, id=5761 -- WP guess: partial fractions -- Status:


 * PM: prime, id=438 -- WP guess: prime -- Status:


 * PM: prime number theorem, id=199 -- WP guess: prime number theorem -- Status:


 * PM: proof of Thue's Lemma, id=3827 -- WP guess: proof of Thue's Lemma -- Status:


 * PM: semiprime, id=3145 -- WP: semiprime -- Status: NM
 * linas 01:02, 13 Mar 2005 (UTC)


 * PM: sieve of Eratosthenes, id=2928 -- WP: sieve of Eratosthenes -- Status: A
 * AdamSmithee 14:53, 5 January 2006 (UTC)


 * PM: test for primality of Mersenne numbers, id=4320 -- WP: Lucas-Lehmer test for Mersenne numbers -- Status: A
 * AdamSmithee 14:53, 5 January 2006 (UTC)


 * PM: Thue's lemma, id=3826 -- WP guess: Thue's lemma -- Status:


 * PM: two small results on Mersenne numbers, id=6874 -- WP guess: two small results on Mersenne numbers -- Status:


 * PM: prime constant, id=6749 -- WP guess: prime constant -- Status:


 * PM: prime harmonic series, id=6860 -- WP guess: prime harmonic series -- Status:


 * PM: first thousand positive prime numbers, id=7281 -- WP guess: first thousand positive prime numbers -- Status:


 * PM: Andrica's conjecture, id=8901new! -- WP guess: Andrica's conjecture -- Status:


 * PM: balanced prime, id=8811new! -- WP guess: balanced prime -- Status:


 * PM: bounds on \pi(n), id=8545new! -- WP guess: bounds on \pi(n) -- Status:


 * PM: Brocard's conjecture, id=8890new! -- WP guess: Brocard's conjecture -- Status:


 * PM: convexity conjecture, id=8991new! -- WP guess: convexity conjecture -- Status:


 * PM: emirp, id=9415new! -- WP guess: emirp -- Status:


 * PM: Euler's lucky number, id=9189new! -- WP guess: Euler's lucky number -- Status:


 * PM: examples of Pollard's p - 1 algorithm on a few integers, id=8963new! -- WP guess: examples of Pollard's p - 1 algorithm on a few integers -- Status:


 * PM: examples of probable primes, id=7899new! -- WP guess: examples of probable primes -- Status:


 * PM: examples of the Fermat method on a few integers, id=8863new! -- WP guess: examples of the Fermat method on a few integers -- Status:


 * PM: Fermat method, id=8855new! -- WP guess: Fermat method -- Status:


 * PM: Gaussian prime, id=9161new! -- WP guess: Gaussian prime -- Status:


 * PM: generalized Andrica conjecture, id=9636new! -- WP guess: generalized Andrica conjecture -- Status:


 * PM: Higgs prime, id=8939new! -- WP guess: Higgs prime -- Status:


 * PM: history of prime numbers, id=9762new! -- WP guess: history of prime numbers -- Status:


 * PM: integer factorization, id=8857new! -- WP guess: integer factorization -- Status:


 * PM: Legendre's conjecture, id=8840new! -- WP guess: Legendre's conjecture -- Status:


 * PM: lucky number, id=9187new! -- WP guess: lucky number -- Status:


 * PM: lucky prime, id=9188new! -- WP guess: lucky prime -- Status:


 * PM: Mills' constant, id=8920new! -- WP guess: Mills' constant -- Status:


 * PM: minimal prime, id=9123new! -- WP guess: minimal prime -- Status:


 * PM: Pierpont prime, id=9128new! -- WP guess: Pierpont prime -- Status:


 * PM: Pillai prime, id=8739new! -- WP guess: Pillai prime -- Status:


 * PM: Pollard's p - 1 algorithm, id=8951new! -- WP guess: Pollard's p - 1 algorithm -- Status:


 * PM: Pollard's \rho algorithm, id=8962new! -- WP guess: Pollard's \rho algorithm -- Status:


 * PM: prime gap, id=8588new! -- WP guess: prime gap -- Status:


 * PM: prime harmonic series diverges - Chebyshev's proof, id=8544new! -- WP guess: prime harmonic series diverges - Chebyshev's proof -- Status:


 * PM: prime magic square, id=8945new! -- WP guess: prime magic square -- Status:


 * PM: prime pyramid, id=9283new! -- WP guess: prime pyramid -- Status:


 * PM: primorial, id=8036new! -- WP guess: primorial -- Status:


 * PM: primorial prime, id=8450new! -- WP guess: primorial prime -- Status:


 * PM: probable prime, id=7898new! -- WP guess: probable prime -- Status:


 * PM: proof of infinitude of primes, id=9404new! -- WP guess: proof of infinitude of primes -- Status:


 * PM: proof that n^2-n+41 is prime for 0\leq n\leq 40, id=9195new! -- WP guess: proof that n^2-n+41 is prime for 0\leq n\leq 40 -- Status:


 * PM: Pythagorean prime, id=9155new! -- WP guess: Pythagorean prime -- Status:


 * PM: Ramanujan prime, id=8850new! -- WP guess: Ramanujan prime -- Status:


 * PM: representing primes as x^2+ny^2, id=7791new! -- WP guess: representing primes as x^2+ny^2 -- Status:


 * PM: safe prime, id=7792new! -- WP guess: safe prime -- Status:


 * PM: Skewes' number, id=9339new! -- WP guess: Skewes' number -- Status:


 * PM: Smarandache constant, id=9642new! -- WP guess: Smarandache constant -- Status:


 * PM: Smarandache function, id=9363new! -- WP guess: Smarandache function -- Status:


 * PM: strong law of small numbers, id=8270new! -- WP guess: strong law of small numbers -- Status:


 * PM: strong prime, id=8768new! -- WP guess: strong prime -- Status:


 * PM: table of primes between the first 100 squares, id=8841new! -- WP guess: table of primes between the first 100 squares -- Status:


 * PM: trial division, id=8854new! -- WP guess: trial division -- Status:


 * PM: Ulam spiral, id=8990new! -- WP guess: Ulam spiral -- Status:


 * PM: upper bound on \vartheta(n), id=8246new! -- WP guess: upper bound on \vartheta(n) -- Status:


 * PM: values of the prime counting function and estimates for selected inputs, id=8852new! -- WP guess: values of the prime counting function and estimates for selected inputs -- Status:


 * PM: weak prime, id=8813new! -- WP guess: weak prime -- Status:


 * PM: Wilson prime, id=8885new! -- WP guess: Wilson prime -- Status:


 * PM: Wilson's primeth recurrence, id=8290new! -- WP guess: Wilson's primeth recurrence -- Status:

11A51 Factorization; primality

 * PM: divisibility, id=923 -- WP guess: divisibility -- Status:


 * PM: divisibility by product, id=6513 -- WP guess: divisibility by product -- Status:


 * PM: divisibility in rings, id=6322 -- WP guess: divisibility in rings -- Status:


 * PM: division algorithm for integers, id=919 -- WP guess: division algorithm for integers -- Status:


 * PM: Fermat compositeness test, id=3781 -- WP guess: Fermat compositeness test -- Status:


 * PM: Fermat Numbers, id=68 -- WP guess: Fermat Numbers -- Status:


 * PM: Fermat Numbers are coprime, id=6529 -- WP guess: Fermat Numbers are coprime -- Status:


 * PM: Lucas-Lehmer primality test, id=5910 -- WP: Lucas-Lehmer primality test -- Status: A
 * linas 01:08, 13 Mar 2005 (UTC)


 * PM: Pollard's \rho, id=2832 -- WP guess: Pollard's rho algorithm -- Status:


 * PM: proof of division algorithm for integers, id=3404 -- WP guess: proof of division algorithm for integers -- Status:


 * PM: quadratic sieve, id=3121 -- WP guess: quadratic sieve -- Status:


 * PM: square-free number, id=636 -- WP guess: square-free number -- Status:


 * PM: squarefull number, id=204 -- WP guess: squarefull number -- Status:


 * PM: the prime power dividing a factorial, id=3908 -- WP guess: the prime power dividing a factorial -- Status:


 * PM: Zsigmondy's theorem, id=3625 -- WP guess: Zsigmondy's theorem -- Status:


 * PM: example of gcd, id=7307 -- WP guess: example of gcd -- Status:


 * PM: n-free number, id=8089new! -- WP guess: n-free number -- Status:


 * PM: n-full number, id=8098new! -- WP guess: n-full number -- Status:


 * PM: Achilles number, id=9489new! -- WP guess: Achilles number -- Status:


 * PM: Cullen number, id=9719new! -- WP guess: Cullen number -- Status:


 * PM: Cullen prime, id=9720new! -- WP guess: Cullen prime -- Status:


 * PM: eliminated Sierpiński number candidates, id=9712new! -- WP guess: eliminated Sierpiński number candidates -- Status:


 * PM: Erdős-Selfridge classification of primes, id=8143new! -- WP guess: Erdős-Selfridge classification of primes -- Status:


 * PM: Euler pseudoprime, id=9070new! -- WP guess: Euler pseudoprime -- Status:


 * PM: exactly divides, id=8266new! -- WP guess: exactly divides -- Status:


 * PM: Knödel number, id=8181new! -- WP guess: Knödel number -- Status:


 * PM: proper divisor, id=7859new! -- WP guess: proper divisor -- Status:


 * PM: Proth number, id=9710new! -- WP guess: Proth number -- Status:


 * PM: Proth prime, id=9711new! -- WP guess: Proth prime -- Status:


 * PM: pseudoprime, id=9068new! -- WP guess: pseudoprime -- Status:


 * PM: restricted divisors of the first 1000 positive integers, id=9131new! -- WP guess: restricted divisors of the first 1000 positive integers -- Status:


 * PM: Ruth-Aaron pair, id=8187new! -- WP guess: Ruth-Aaron pair -- Status:


 * PM: table of pseudoprimes below 2000 in bases 2 to 16, id=9081new! -- WP guess: table of pseudoprimes below 2000 in bases 2 to 16 -- Status:


 * PM: table of small Knödel numbers K_n for 0 &lt; n &lt; 26, id=9633new! -- WP guess: table of small Knödel numbers K_n for 0 &lt; n &lt; 26 -- Status:


 * PM: unitary divisor, id=9144new! -- WP guess: unitary divisor -- Status:

11A55 Continued fractions

 * PM: continued fraction, id=3101 -- WP: continued fraction -- Status: A
 * linas 22:53, 12 Mar 2005 (UTC)


 * PM: Farey pair, id=6597 -- WP guess: Farey pair -- Status:


 * PM: Farey sequence, id=3102 -- WP: Farey sequence -- Status: A
 * linas 22:51, 12 Mar 2005 (UTC)


 * PM: a few examples of solutions to Znám's problem, id=7764new! -- WP guess: a few examples of solutions to Znám's problem -- Status:


 * PM: Cahen's constant, id=8549new! -- WP guess: Cahen's constant -- Status:


 * PM: derivation of recurrence for Sylvester's sequence, id=7771new! -- WP guess: derivation of recurrence for Sylvester's sequence -- Status:


 * PM: sum of reciprocals of Sylvester's sequence, id=7773new! -- WP guess: sum of reciprocals of Sylvester's sequence -- Status:


 * PM: Sylvester's sequence, id=7765new! -- WP guess: Sylvester's sequence -- Status:


 * PM: Znám's problem, id=7755new! -- WP guess: Znám's problem -- Status:

11A63 Radix representation; digital problems

 * PM: corollary of Kummer's theorem, id=3921 -- WP guess: corollary of Kummer's theorem -- Status:


 * PM: Kummer's theorem, id=3909 -- WP guess: Kummer's theorem -- Status:


 * PM: surd, id=5751 -- WP: Radical (mathematics) -- Status: A
 * linas 01:12, 13 Mar 2005 (UTC)


 * PM: Friedman number, id=7533 -- WP guess: Friedman number -- Status:


 * PM: Armstrong number, id=8123new! -- WP guess: Armstrong number -- Status:


 * PM: automorphic number, id=8469new! -- WP guess: automorphic number -- Status:


 * PM: bitwise AND, id=9335new! -- WP guess: bitwise AND -- Status:


 * PM: bitwise NOT, id=9338new! -- WP guess: bitwise NOT -- Status:


 * PM: bitwise OR, id=9336new! -- WP guess: bitwise OR -- Status:


 * PM: bitwise XOR, id=9337new! -- WP guess: bitwise XOR -- Status:


 * PM: Champernowne's constant, id=9361new! -- WP guess: Champernowne's constant -- Status:


 * PM: computer representation of integers, id=9197new! -- WP guess: computer representation of integers -- Status:


 * PM: Copeland-Erdős constant, id=7923new! -- WP guess: Copeland-Erdős constant -- Status:


 * PM: Demlo number, id=8504new! -- WP guess: Demlo number -- Status:


 * PM: digit sum, id=8525new! -- WP guess: digit sum -- Status:


 * PM: digitaddition generator, id=7945new! -- WP guess: digitaddition generator -- Status:


 * PM: digital root, id=8017new! -- WP guess: digital root -- Status:


 * PM: dihedral prime, id=9012new! -- WP guess: dihedral prime -- Status:


 * PM: divisibility test, id=8026new! -- WP guess: divisibility test -- Status:


 * PM: duodecimal, id=8482new! -- WP guess: duodecimal -- Status:


 * PM: equidigital number, id=8899new! -- WP guess: equidigital number -- Status:


 * PM: examples of 1-automorphic numbers, id=8470new! -- WP guess: examples of 1-automorphic numbers -- Status:


 * PM: examples of Demlo numbers, id=8507new! -- WP guess: examples of Demlo numbers -- Status:


 * PM: examples of digital roots in a few selected bases, id=8030new! -- WP guess: examples of digital roots in a few selected bases -- Status:


 * PM: examples of Kaprekar numbers, id=8077new! -- WP guess: examples of Kaprekar numbers -- Status:


 * PM: examples of Keith numbers, id=8067new! -- WP guess: examples of Keith numbers -- Status:


 * PM: examples of palindromic primes, id=7933new! -- WP guess: examples of palindromic primes -- Status:


 * PM: examples of parasitic numbers, id=8520new! -- WP guess: examples of parasitic numbers -- Status:


 * PM: examples of polydivisible numbers, id=8521new! -- WP guess: examples of polydivisible numbers -- Status:


 * PM: examples of self numbers in a few selected bases, id=7947new! -- WP guess: examples of self numbers in a few selected bases -- Status:


 * PM: examples of Smarandache-Wellin primes in a few selected bases, id=7915new! -- WP guess: examples of Smarandache-Wellin primes in a few selected bases -- Status:


 * PM: examples of trimorphic numbers, id=8496new! -- WP guess: examples of trimorphic numbers -- Status:


 * PM: expressing fractions in factorial base, id=8995new! -- WP guess: expressing fractions in factorial base -- Status:


 * PM: extravagant number, id=8900new! -- WP guess: extravagant number -- Status:


 * PM: factorial base, id=7927new! -- WP guess: factorial base -- Status:


 * PM: factorial base representation of fractions, id=8994new! -- WP guess: factorial base representation of fractions -- Status:


 * PM: Feynman point, id=8586new! -- WP guess: Feynman point -- Status:


 * PM: fixed-point arithmetic, id=8724new! -- WP guess: fixed-point arithmetic -- Status:


 * PM: frugal number, id=8898new! -- WP guess: frugal number -- Status:


 * PM: happy number, id=8462new! -- WP guess: happy number -- Status:


 * PM: Harshad number, id=7742new! -- WP guess: Harshad number -- Status:


 * PM: hexadecimal, id=8472new! -- WP guess: hexadecimal -- Status:


 * PM: Kaprekar constant, id=8386new! -- WP guess: Kaprekar constant -- Status:


 * PM: Kaprekar number, id=8034new! -- WP guess: Kaprekar number -- Status:


 * PM: Keith number, id=8035new! -- WP guess: Keith number -- Status:


 * PM: least significant digit, id=8486new! -- WP guess: least significant digit -- Status:


 * PM: Leyland number, id=7806new! -- WP guess: Leyland number -- Status:


 * PM: most significant digit, id=9122new! -- WP guess: most significant digit -- Status:


 * PM: multiplicative digital root, id=8046new! -- WP guess: multiplicative digital root -- Status:


 * PM: palindromic number, id=7931new! -- WP guess: palindromic number -- Status:


 * PM: palindromic prime, id=7932new! -- WP guess: palindromic prime -- Status:


 * PM: pandigital number, id=8131new! -- WP guess: pandigital number -- Status:


 * PM: parasitic number, id=8510new! -- WP guess: parasitic number -- Status:


 * PM: permutable prime, id=8328new! -- WP guess: permutable prime -- Status:


 * PM: polydivisible number, id=8511new! -- WP guess: polydivisible number -- Status:


 * PM: proof that every positive integer has a Zeckendorf representation, id=8809new! -- WP guess: proof that every positive integer has a Zeckendorf representation -- Status:


 * PM: proof that number of sum-product numbers in any base is finite, id=7743new! -- WP guess: proof that number of sum-product numbers in any base is finite -- Status:


 * PM: proof that the set of sum-product numbers in base 10 is finite, id=7740new! -- WP guess: proof that the set of sum-product numbers in base 10 is finite -- Status:


 * PM: proof that the set of sum-product numbers in base 2 is finite, id=7739new! -- WP guess: proof that the set of sum-product numbers in base 2 is finite -- Status:


 * PM: proof that the Zeckendorf representation of a positive integer is unique, id=8810new! -- WP guess: proof that the Zeckendorf representation of a positive integer is unique -- Status:


 * PM: repdigit, id=8468new! -- WP guess: repdigit -- Status:


 * PM: repunit, id=8322new! -- WP guess: repunit -- Status:


 * PM: scientific notation, id=8858new! -- WP guess: scientific notation -- Status:


 * PM: self number, id=7946new! -- WP guess: self number -- Status:


 * PM: self-descriptive number, id=7892new! -- WP guess: self-descriptive number -- Status:


 * PM: sequences b^{2n}-1 and b^{2n-1}+1 are divisible by b+1, id=8340new! -- WP guess: sequences b^2n-1 and b^2n-1+1 are divisible by b+1 -- Status:


 * PM: Sloane's conjecture on multiplicative digital root, id=8047new! -- WP guess: Sloane's conjecture on multiplicative digital root -- Status:


 * PM: Smarandache-Wellin number, id=7921new! -- WP guess: Smarandache-Wellin number -- Status:


 * PM: Smarandache-Wellin prime, id=7914new! -- WP guess: Smarandache-Wellin prime -- Status:


 * PM: Smith number, id=8454new! -- WP guess: Smith number -- Status:


 * PM: some examples of Friedman numbers in Roman numerals, id=7745new! -- WP guess: some examples of Friedman numbers in Roman numerals -- Status:


 * PM: strictly non-palindromic number, id=8570new! -- WP guess: strictly non-palindromic number -- Status:


 * PM: strobogrammatic number, id=9006new! -- WP guess: strobogrammatic number -- Status:


 * PM: strobogrammatic prime, id=8451new! -- WP guess: strobogrammatic prime -- Status:


 * PM: sum-product number, id=7738new! -- WP guess: sum-product number -- Status:


 * PM: trimorphic number, id=8495new! -- WP guess: trimorphic number -- Status:


 * PM: unambiguity of factorial base representation, id=8846new! -- WP guess: unambiguity of factorial base representation -- Status:


 * PM: vampire number, id=7706new! -- WP guess: vampire number -- Status:


 * PM: Zeckendorf's theorem, id=8120new! -- WP guess: Zeckendorf's theorem -- Status:


 * PM: Zuckerman number, id=8134new! -- WP guess: Zuckerman number -- Status:

11A67 Other representations

 * PM: adjacent fraction, id=3124 -- WP guess: adjacent fraction -- Status:


 * PM: any rational number is a sum of unit fractions, id=3127 -- WP guess: any rational number is a sum of unit fractions -- Status:


 * PM: conjecture on fractions with odd denominators, id=3128 -- WP guess: conjecture on fractions with odd denominators -- Status:


 * PM: Sierpinski Erdős egyptian fraction conjecture, id=4403 -- WP guess: Sierpinski Erdős egyptian fraction conjecture -- Status:


 * PM: sums of two squares, id=5842 -- WP guess: sums of two squares -- Status:


 * PM: unit fraction, id=3125 -- WP: unit fraction -- Status: NM
 * linas 23:39, 12 Mar 2005 (UTC)


 * PM: Erdős-Straus conjecture, id=8628new! -- WP guess: Erdős-Straus conjecture -- Status:


 * PM: examples supporting the Erdős-Straus conjecture, id=9160new! -- WP guess: examples supporting the Erdős-Straus conjecture -- Status:

11A99 Miscellaneous

 * PM: ABC conjecture, id=201 -- WP guess: ABC conjecture -- Status:


 * PM: irrational to an irrational power can be rational, id=4389 -- WP guess: irrational to an irrational power can be rational -- Status:


 * PM: Suranyi's theorem, id=4398 -- WP guess: Suranyi's theorem -- Status:


 * PM: triangular numbers, id=1698 -- WP: triangular numbers -- Status: A
 * linas 01:25, 13 Mar 2005 (UTC)


 * PM: decimal expansion, id=6787 -- WP guess: decimal expansion -- Status:


 * PM: existence and uniqueness of decimal expansion, id=7648new! -- WP guess: existence and uniqueness of decimal expansion -- Status:


 * PM: forty-two, id=8642new! -- WP guess: forty-two -- Status:


 * PM: four hundred ninety-six, id=9496new! -- WP guess: four hundred ninety-six -- Status:


 * PM: multiplication operator, id=9005new! -- WP guess: multiplication operator -- Status:


 * PM: number of the beast, id=8666new! -- WP guess: number of the beast -- Status:


 * PM: one hundred sixty-three, id=9163new! -- WP guess: one hundred sixty-three -- Status:


 * PM: tacit multiplication operator, id=8667new! -- WP guess: tacit multiplication operator -- Status:


 * PM: tetrahedral number, id=7952new! -- WP guess: tetrahedral number -- Status:


 * PM: thirteen, id=9789new! -- WP guess: thirteen -- Status:


 * PM: two hundred thirty-nine, id=9239new! -- WP guess: two hundred thirty-nine -- Status:

11B05 Density, gaps, topology

 * PM: asymptotic density, id=2861 -- WP: natural density -- Status: C


 * PM: Cauchy-Davenport theorem, id=4133 -- WP guess: Cauchy-Davenport theorem -- Status:


 * PM: Erdős-Turan conjecture, id=4018 -- WP guess: Erdős-Turan conjecture -- Status:


 * PM: essential component, id=3840 -- WP guess: essential component -- Status:


 * PM: Mann's theorem, id=3857 -- WP: Schnirelmann density -- Status: C


 * PM: normal order, id=2862 -- WP guess: normal order -- Status:


 * PM: Proof of Cauchy-Davenport theorem, id=6141 -- WP guess: Proof of Cauchy-Davenport theorem -- Status:


 * PM: Schnirelmann density, id=3838 -- WP: Schnirelmann density -- Status: A


 * PM: Sidon set, id=4771 -- WP guess: Sidon set -- Status:


 * PM: sumset, id=3830 -- WP guess: sumset -- Status:


 * PM: inequality of logarithmic and asymptotic density, id=7424 -- WP guess: inequality of logarithmic and asymptotic density -- Status:


 * PM: logarithmic density, id=7421 -- WP guess: logarithmic density -- Status:

11B13 Additive bases

 * PM: additive basis, id=3831 -- WP guess: additive basis -- Status:


 * PM: asymptotic basis, id=3832 -- WP guess: asymptotic basis -- Status:


 * PM: base conversion, id=3471 -- WP guess: base conversion -- Status:


 * PM: Waring's problem, id=3841 -- WP guess: Waring's problem -- Status:


 * PM: eventually coincide, id=6907 -- WP guess: eventually coincide -- Status:


 * PM: Euler's conjecture, id=8580new! -- WP guess: Euler's conjecture -- Status:


 * PM: Mian-Chowla sequence, id=8622new! -- WP guess: Mian-Chowla sequence -- Status:


 * PM: Ulam number, id=9002new! -- WP guess: Ulam number -- Status:

11B25 Arithmetic progressions

 * PM: Freiman's theorem, id=4304 -- WP: Freiman's theorem -- Status: C
 * by Charles Matthews. Oleg Alexandrov 16:21, 15 July 2005 (UTC)


 * PM: multidimensional arithmetic progression, id=4303 -- WP guess: multidimensional arithmetic progression -- Status:


 * PM: a few complex multiplication tables, id=9216new! -- WP guess: a few complex multiplication tables -- Status:


 * PM: how to use a table, id=8803new! -- WP guess: how to use a table -- Status:

11B34 Representation functions

 * PM: Erdős-Fuchs theorem, id=3868 -- WP: Erdős–Fuchs theorem -- Status: A
 * Chenxlee (talk) 19:01, 25 September 2008 (UTC)


 * PM: amenable number, id=8815new! -- WP guess: amenable number -- Status:

11B37 Recurrences

 * PM: Berlekamp-Massey algorithm, id=6015 -- WP guess: Berlekamp-Massey algorithm -- Status:


 * PM: Collatz problem, id=29 -- WP: Collatz conjecture -- Status: A
 * CryptoDerk 22:25, Feb 1, 2005 (UTC)


 * PM: maple implementation of Berlekamp-Massey algorithm, id=7502 -- WP guess: maple implementation of Berlekamp-Massey algorithm -- Status:


 * PM: approximating algebraic numbers with linear recurrences, id=9138new! -- WP guess: approximating algebraic numbers with linear recurrences -- Status:


 * PM: Collatz sequence, id=8952new! -- WP guess: Collatz sequence -- Status:


 * PM: Collatz sequences starting with numbers of the form 3n + 1 for odd n &lt; 334, id=8944new! -- WP guess: Collatz sequences starting with numbers of the form 3n + 1 for odd n &lt; 334 -- Status:


 * PM: Collatz tree, id=8954new! -- WP guess: Collatz tree -- Status:


 * PM: linear recurrence, id=9125new! -- WP guess: linear recurrence -- Status:

11B39 Fibonacci and Lucas numbers and polynomials and generalizations

 * PM: Cassini's identity, id=6335 -- WP: Cassini's identity -- Status: A
 * AdamSmithee 09:00, 8 March 2006 (UTC)


 * PM: Catalan's identity, id=6337 -- WP: Catalan's identity -- Status: A
 * AdamSmithee 09:00, 8 March 2006 (UTC)


 * PM: Fibonacci sequence, id=665 -- WP: Fibonacci sequence -- Status: A
 * linas 03:27, 13 Mar 2005 (UTC)


 * PM: golden ratio, id=663 -- WP guess: golden ratio -- Status:


 * PM: Hogatt's theorem, id=4408 -- WP guess: Hogatt's theorem -- Status:


 * PM: Lucas numbers, id=1963 -- WP guess: Lucas numbers -- Status:


 * PM: proof of Cassini's identity, id=6382 -- WP: Cassini and Catalan identities -- Status: N
 * I added an external link AdamSmithee 09:00, 8 March 2006 (UTC)


 * PM: proof of Catalan's Identity, id=6389 -- WP: Cassini and Catalan identities -- Status: N
 * I added an external link AdamSmithee 09:00, 8 March 2006 (UTC)


 * PM: derivation of Binet formula, id=6784 -- WP guess: derivation of Binet formula -- Status:


 * PM: list of Fibonacci numbers, id=7680new! -- WP guess: list of Fibonacci numbers -- Status:


 * PM: Padovan sequence, id=8821new! -- WP guess: Padovan sequence -- Status:


 * PM: Pell number, id=7736new! -- WP guess: Pell number -- Status:


 * PM: Perrin pseudoprime, id=8284new! -- WP guess: Perrin pseudoprime -- Status:


 * PM: Perrin sequence, id=8149new! -- WP guess: Perrin sequence -- Status:


 * PM: plastic constant, id=8264new! -- WP guess: plastic constant -- Status:


 * PM: primefree sequence, id=7917new! -- WP guess: primefree sequence -- Status:


 * PM: proof that it is impossible to construct a Fibonacci-like sequence consisting entirely of primes, id=7926new! -- WP guess: proof that it is impossible to construct a Fibonacci-like sequence consisting entirely of primes -- Status:


 * PM: values of \frac{F_n}{F_{n - 1}} for 1 &lt; n &lt; 26, id=9767new! -- WP guess: values of \fracF_nF_n - 1 for 1 &lt; n &lt; 26 -- Status:

11B50 Sequences (mod $m$)

 * PM: Erdős-Ginzburg-Ziv theorem, id=4327 -- WP guess: Erdős-Ginzburg-Ziv theorem -- Status:

11B65 Binomial coefficients; factorials; $q$-identities

 * PM: binomial theorem, id=247 -- WP: binomial theorem -- Status: A


 * PM: Lucas's Theorem, id=3779 -- WP guess: Lucas's Theorem -- Status:


 * PM: smarandacheials, id=5859 -- WP guess: smarandacheials -- Status:


 * PM: proof of binomial theorem, id=6785 -- WP guess: proof of binomial theorem -- Status:

11B68 Bernoulli and Euler numbers and polynomials

 * PM: Bernoulli number, id=219 -- WP guess: Bernoulli number -- Status:


 * PM: Bernoulli periodic function, id=218 -- WP guess: Bernoulli periodic function -- Status:


 * PM: Bernoulli polynomial, id=215 -- WP: Bernoulli polynomial -- Status: A
 * linas 01:19, 14 July 2005 (UTC)


 * PM: generalized Bernoulli number, id=3910 -- WP guess: generalized Bernoulli number -- Status:


 * PM: congruence of Clausen and von Staudt, id=6957 -- WP guess: congruence of Clausen and von Staudt -- Status:


 * PM: Kummer's congruence, id=6958 -- WP guess: Kummer's congruence -- Status:


 * PM: proof of congruence of Clausen and von Staudt, id=7470 -- WP guess: proof of congruence of Clausen and von Staudt -- Status:


 * PM: the odd Bernoulli numbers are zero, id=6959 -- WP guess: the odd Bernoulli numbers are zero -- Status:

11B75 Other combinatorial number theory

 * PM: Erdős-Heilbronn conjecture, id=4287 -- WP guess: Erdős-Heilbronn conjecture -- Status:


 * PM: Freiman isomorphism, id=4344 -- WP guess: Freiman isomorphism -- Status:


 * PM: sum-free, id=4305 -- WP guess: sum-free -- Status:

11B83 Special sequences and polynomials

 * PM: Beatty sequence, id=4259 -- WP guess: Beatty sequence -- Status:


 * PM: Beatty's theorem, id=695 -- WP guess: Beatty's theorem -- Status:


 * PM: Fraenkel's partition theorem, id=4333 -- WP guess: Fraenkel's partition theorem -- Status:


 * PM: palindrome, id=3311 -- WP guess: palindrome -- Status:


 * PM: proof of Beatty's theorem, id=3823 -- WP guess: proof of Beatty's theorem -- Status:


 * PM: Sierpinski numbers, id=4683 -- WP guess: Sierpinski numbers -- Status:


 * PM: square-free sequence, id=640 -- WP guess: square-free sequence -- Status:


 * PM: superincreasing sequence, id=623 -- WP guess: superincreasing sequence -- Status:


 * PM: Data stream, id=7542 -- WP guess: Data stream -- Status:


 * PM: proof that powers of 2 are a superincreasing sequence, id=6772 -- WP guess: proof that powers of 2 are a superincreasing sequence -- Status:


 * PM: Widera Interlace and Deinterlace, id=7543 -- WP guess: Widera Interlace and Deinterlace -- Status:

11B85 Automata sequences

 * PM: Prouhet-Thue-Morse constant, id=5994 -- WP: Prouhet-Thue-Morse constant -- Status: A
 * linas 02:13, 13 Mar 2005 (UTC)


 * PM: Prouhet-Thue-Morse sequence, id=5973 -- WP: Prouhet-Thue-Morse sequence -- Status: NM
 * minor merge, just copy the relation on the genering function.linas 02:13, 13 Mar 2005 (UTC)

11B99 Miscellaneous

 * PM: closed form, id=666 -- WP: closed-form solution -- Status: NM
 * linas 02:18, 13 Mar 2005 (UTC)


 * PM: Lychrel number, id=3312 -- WP: Lychrel number -- Status: NM
 * minor, just copy the table linas 02:16, 13 Mar 2005 (UTC)


 * PM: example of closed form, id=6769 -- WP guess: example of closed form -- Status:


 * PM: 196's reverse and add sequence to 1000 terms, id=8316new! -- WP guess: 196's reverse and add sequence to 1000 terms -- Status:

11C08 Polynomials

 * PM: A. Cohn's irreducibility criterion, id=6194 -- WP: Cohn's irreducibility criterion -- Status: A


 * PM: content of a polynomial, id=4167 -- WP guess: content of a polynomial -- Status:


 * PM: cyclotomic polynomial, id=2852 -- WP: cyclotomic polynomial -- Status: A
 * linas 02:21, 13 Mar 2005 (UTC)


 * PM: evaluation homomorphism, id=5671 -- WP guess: evaluation homomorphism -- Status:


 * PM: Eisenstein criterion, id=1724 -- WP guess: Eisenstein criterion -- Status:


 * PM: height of a polynomial, id=4168 -- WP: height of a polynomial -- Status: A
 * Doctormatt 06:37, March 13, 2007 (UTC)


 * PM: length of a polynomial, id=4166 -- WP guess: length of a polynomial -- Status:


 * PM: opposite polynomial, id=6447 -- WP guess: opposite polynomial -- Status:


 * PM: polynomial ring, id=465 -- WP guess: polynomial ring -- Status:


 * PM: proof of Eisenstein criterion, id=2986 -- WP: proof of Eisenstein criterion -- Status: NC


 * PM: proof that the cyclotomic polynomial is irreducible, id=2897 -- WP guess: proof that the cyclotomic polynomial is irreducible -- Status:


 * PM: sign of term, id=6452 -- WP guess: sign of term -- Status:


 * PM: translation automorphism of a polynomial ring, id=5720 -- WP guess: translation automorphism of a polynomial ring -- Status:


 * PM: zero polynomial, id=6431 -- WP guess: zero polynomial -- Status:


 * PM: a polynomial of degree n over a field has at most n roots, id=6897 -- WP guess: a polynomial of degree n over a field has at most n roots -- Status:


 * PM: algebraic equation, id=7006 -- WP guess: algebraic equation -- Status:


 * PM: Newton-Girard formula for symmetric polynomials, id=7441 -- WP guess: Newton-Girard formula for symmetric polynomials -- Status:


 * PM: proof of Newton-Girard formula for symmetric polynomials, id=7485 -- WP guess: proof of Newton-Girard formula for symmetric polynomials -- Status:


 * PM: proof of Waring's formula, id=7482 -- WP guess: proof of Waring's formula -- Status:


 * PM: Topics on polynomials, id=7170 -- WP guess: Topics on polynomials -- Status:


 * PM: Waring's formula, id=7480 -- WP guess: Waring's formula -- Status:


 * PM: examples of cyclotomic polynomials, id=9688new! -- WP guess: examples of cyclotomic polynomials -- Status:


 * PM: factors of n and x^n-1, id=8776new! -- WP guess: factors of n and x^n-1 -- Status:

11C99 Miscellaneous

 * PM: Cantor-Zassenhaus split, id=6591 -- WP guess: Cantor-Zassenhaus split -- Status:


 * PM: squarefree factorization, id=6590 -- WP guess: squarefree factorization -- Status:

11D09 Quadratic and bilinear equations

 * PM: Pell's equation and simple continued fractions, id=3870 -- WP: Pell's equation -- Status: NM
 * linas 01:17, 13 Mar 2005 (UTC)


 * PM: polygonal number, id=4685 -- WP: polygonal number -- Status: NM
 * linas 01:19, 13 Mar 2005 (UTC)


 * PM: proof of Pythagorean triplet, id=5519 -- WP guess: proof of Pythagorean triplet -- Status:


 * PM: centered hexagonal number, id=8767new! -- WP guess: centered hexagonal number -- Status:


 * PM: Pell's equation, id=8629new! -- WP guess: Pell's equation -- Status:

11D25 Cubic and quartic equations

 * PM: infinite descent, id=5542 -- WP guess: infinite descent -- Status:

11D41 Higher degree equations; Fermat's equation

 * PM: Beal conjecture, id=3765 -- WP guess: Beal conjecture -- Status:


 * PM: Euler quartic conjecture, id=4326 -- WP guess: Euler quartic conjecture -- Status:


 * PM: example of Fermat's last theorem, id=5588 -- WP guess: example of Fermat's last theorem -- Status:


 * PM: Fermat's last theorem, id=1621 -- WP: Fermat's last theorem -- Status: A
 * linas 01:22, 13 Mar 2005 (UTC)


 * PM: x^4-y^4=z^2 has no solutions in positive integers, id=9377new! -- WP guess: x^4-y^4=z^2 has no solutions in positive integers -- Status:


 * PM: Fermat's last theorem (analytic form of), id=8411new! -- WP guess: Fermat's last theorem (analytic form of) -- Status:


 * PM: Kummer's lemma, id=7929new! -- WP guess: Kummer's lemma -- Status:


 * PM: proof of equivalence of Fermat's Last Theorem to its analytic form, id=8444new! -- WP guess: proof of equivalence of Fermat's Last Theorem to its analytic form -- Status:


 * PM: solutions of 1+x+x^2+x^3=y^2, id=9378new! -- WP guess: solutions of 1+x+x^2+x^3=y^2 -- Status:

11D72 Equations in many variables

 * PM: Hurwitz equation, id=9816new! -- WP guess: Hurwitz equation -- Status:


 * PM: Markov number, id=7729new! -- WP guess: Markov number -- Status:

11D79 Congruences in many variables

 * PM: Chinese remainder theorem, id=879 -- WP: Chinese remainder theorem -- Status: A
 * AdamSmithee 09:54, 16 January 2006 (UTC)


 * PM: Chinese remainder theorem proof, id=889 -- WP: Chinese remainder theorem -- Status: A
 * AdamSmithee 09:54, 16 January 2006 (UTC)


 * PM: noncommutative case Chinese remainder theorem for rings, id=9152new! -- WP guess: noncommutative case Chinese remainder theorem for rings -- Status:

11D85 Representation problems

 * PM: Agoh-Giuga conjecture, id=8419new! -- WP guess: Agoh-Giuga conjecture -- Status:


 * PM: Giuga number, id=7815new! -- WP guess: Giuga number -- Status:


 * PM: oblong number, id=7814new! -- WP guess: oblong number -- Status:


 * PM: primary pseudoperfect number, id=8413new! -- WP guess: primary pseudoperfect number -- Status:


 * PM: primitive semiperfect number, id=8442new! -- WP guess: primitive semiperfect number -- Status:


 * PM: semiperfect number, id=8432new! -- WP guess: semiperfect number -- Status:


 * PM: weird number, id=8440new! -- WP guess: weird number -- Status:

11D99 Miscellaneous

 * PM: Diophantine equation, id=890 -- WP: Diophantine equation -- Status: NM
 * easy merge, copy the stuff about algorithm linas 02:34, 13 Mar 2005 (UTC)


 * PM: solution of 1/x + 1/y = 1/n, id=8689new! -- WP guess: solution of 1/x + 1/y = 1/n -- Status:

11E04 Quadratic forms over general fields

 * PM: quadratic map, id=8625new! -- WP guess: quadratic map -- Status:

11E12 Quadratic forms over global rings and fields

 * PM: equivalence of form class group and class group, id=9208new! -- WP guess: equivalence of form class group and class group -- Status:


 * PM: integral binary quadratic forms, id=9194new! -- WP guess: integral binary quadratic forms -- Status:


 * PM: list of all imaginary quadratic extensions whose ring of integers is a PID, id=9213new! -- WP guess: list of all imaginary quadratic extensions whose ring of integers is a PID -- Status:


 * PM: there is a unique reduced form of discriminant -4n only for n=1,2,3,4,7, id=9214new! -- WP guess: there is a unique reduced form of discriminant -4n only for n=1,2,3,4,7 -- Status:

11E16 General binary quadratic forms

 * PM: example of group action, id=4567 -- WP guess: example of group action -- Status:

11E39 Bilinear and Hermitian forms

 * PM: bilinear form, id=1612 -- WP guess: bilinear form -- Status:


 * PM: canonical basis for symmetric bilinear forms, id=6631 -- WP guess: canonical basis for symmetric bilinear forms -- Status:


 * PM: Hermitian form, id=2468 -- WP guess: Hermitian form -- Status:


 * PM: inner product, id=1601 -- WP guess: inner product -- Status:


 * PM: matrix representation of a bilinear form, id=6630 -- WP guess: matrix representation of a bilinear form -- Status:


 * PM: non-degenerate bilinear form, id=2483 -- WP guess: non-degenerate bilinear form -- Status:


 * PM: positive definite form, id=2472 -- WP guess: positive definite form -- Status:


 * PM: symmetric bilinear form, id=2466 -- WP guess: symmetric bilinear form -- Status:


 * PM: Hermitian dot product (finite fields), id=6988 -- WP guess: Hermitian dot product (finite fields) -- Status:


 * PM: non-degenerate quadratic form, id=6828 -- WP guess: non-degenerate quadratic form -- Status:


 * PM: perfect bilinear form, id=7494 -- WP guess: perfect bilinear form -- Status:


 * PM: sesquilinear forms over general fields, id=7987new! -- WP guess: sesquilinear forms over general fields -- Status:

11E57 Classical groups

 * PM: classical groups, id=7812new! -- WP guess: classical groups -- Status:


 * PM: theory from orders of classical groups, id=7958new! -- WP guess: theory from orders of classical groups -- Status:

11E81 Algebraic theory of quadratic forms; Witt groups and rings

 * PM: diagonal quadratic form, id=7646new! -- WP guess: diagonal quadratic form -- Status:


 * PM: isotropic quadratic space, id=7643new! -- WP guess: isotropic quadratic space -- Status:

11E88 Quadratic spaces; Clifford algebras

 * PM: Clifford algebra, id=3803 -- WP: Clifford algebra -- Status: NM
 * copy the part about filter algebra linas 02:38, 13 Mar 2005 (UTC)


 * PM: hyperbolic plane in quadratic spaces, id=7640new! -- WP guess: hyperbolic plane in quadratic spaces -- Status:

11F06 Structure of modular groups and generalizations; arithmetic groups

 * PM: Taniyama-Shimura theorem, id=1720 -- WP: Taniyama-Shimura theorem -- Status: NM
 * The PM intro lends a nice concreteness to the abstract proceedings in WP. linas 02:43, 13 Mar 2005 (UTC)

11F11 Modular forms, one variable

 * PM: cusp form, id=5536 -- WP: cusp form -- Status: A
 * linas 02:49, 13 Mar 2005 (UTC)


 * PM: Hecke algebra, id=5551 -- WP: Hecke algebra -- Status: NC
 * The redirect to Hecke operator should be undone. Or one could merge. linas 02:49, 13 Mar 2005 (UTC)
 * Why? Charles Matthews 19:53, 25 October 2005 (UTC)


 * PM: modular form, id=5534 -- WP: modular form -- Status: A
 * linas 02:49, 13 Mar 2005 (UTC)

11F30 Fourier coefficients of automorphic forms

 * PM: Fourier coefficients, id=4716 -- WP guess: Fourier series -- Status: A
 * The PM article is badly mis-classified. linas 02:51, 13 Mar 2005 (UTC)


 * PM: Fourier sine and cosine series, id=7650new! -- WP guess: Fourier sine and cosine series -- Status:

11F67 Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols

 * PM: period, id=4687 -- WP: period (mathematics) -- Status: NC
 * PM article is mis-classified linas 02:56, 13 Mar 2005 (UTC)


 * PM: Schanuel's conjecture, id=4739 -- WP: Schanuel's conjecture -- Status: NC
 * linas 02:59, 13 Mar 2005 (UTC)

11G05 Elliptic curves over global fields

 * PM: complex multiplication, id=4367 -- WP guess: complex multiplication -- Status:


 * PM: elliptic curve, id=1097 -- WP guess: elliptic curve -- Status:


 * PM: examples of elliptic curves with complex multiplication, id=5872 -- WP guess: examples of elliptic curves with complex multiplication -- Status:


 * PM: the j-invariant classifies elliptic curves up to isomorphism, id=6839 -- WP guess: the j-invariant classifies elliptic curves up to isomorphism -- Status:


 * PM: the arithmetic of elliptic curves, id=6837 -- WP guess: the arithmetic of elliptic curves -- Status:


 * PM: canonical height on an elliptic curve, id=8534new! -- WP guess: canonical height on an elliptic curve -- Status:


 * PM: minimal model for an elliptic curve, id=7763new! -- WP guess: minimal model for an elliptic curve -- Status:


 * PM: regulator of an elliptic curve, id=8535new! -- WP guess: regulator of an elliptic curve -- Status:


 * PM: Siegel's theorem, id=7969new! -- WP guess: Siegel's theorem -- Status:


 * PM: the Grössencharacter associated to a CM elliptic curve, id=7712new! -- WP guess: the Grössencharacter associated to a CM elliptic curve -- Status:


 * PM: Weierstrass equation of an elliptic curve, id=7762new! -- WP guess: Weierstrass equation of an elliptic curve -- Status:

11H06 Lattices and convex bodies

 * PM: lattice in \mathbb{R}^n, id=4613 -- WP: lattice (group) -- Status: NM
 * actually, just copy the graphic diagram over linas 03:01, 13 Mar 2005 (UTC)


 * PM: Minkowski's theorem, id=4601 -- WP: Minkowski's theorem -- Status: NM
 * The rigorous defn in PM is much nicer than the prose in WP. linas 03:04, 13 Mar 2005 (UTC)


 * PM: Hermite's Theorem, id=6820 -- WP guess: Hermite's Theorem -- Status:


 * PM: Minkowski's constant, id=6819 -- WP guess: Minkowski's constant -- Status:


 * PM: using Minkowski's constant to find a class number, id=6822 -- WP guess: using Minkowski's constant to find a class number -- Status:

11J04 Homogeneous approximation to one number

 * PM: Dirichlet's approximation theorem, id=3740 -- WP guess: Dirichlet's approximation theorem -- Status:

11J06 Markov and Lagrange spectra and generalizations

 * PM: uniqueness conjecture for Markov numbers, id=9817new! -- WP guess: uniqueness conjecture for Markov numbers -- Status:

11J61 Approximation in non-Archimedean valuations

 * PM: Goormaghtigh Conjecture, id=7120 -- WP guess: Goormaghtigh Conjecture -- Status:

11J68 Approximation to algebraic numbers

 * PM: Davenport-Schmidt theorem, id=4151 -- WP: Davenport-Schmidt theorem -- Status: A
 * Chenxlee (talk) 02:19, 9 July 2008 (UTC)


 * PM: Liouville approximation theorem, id=211 -- WP: Liouville number -- Status: N
 * Chenxlee (talk) 02:27, 9 July 2008 (UTC)


 * PM: proof of Liouville approximation theorem, id=3833 -- WP: Lioville number -- Status: N
 * Chenxlee (talk) 02:30, 9 July 2008 (UTC)


 * PM: Roth's theorem, id=6753 -- WP: Thue–Siegel–Roth theorem -- Status: N
 * Chenxlee (talk) 02:30, 9 July 2008 (UTC)

11J71 Distribution modulo one

 * PM: Salem number, id=4298 -- WP: Salem number -- Status: A
 * linas 03:06, 13 Mar 2005 (UTC)

11J72 Irrationality; linear independence over a field

 * PM: nth root of 2 is irrational for n\ge 3 (proof using Fermat's last theorem), id=4292 -- WP guess: nth root of 2 is irrational for n\ge 3 (proof using Fermat's last theorem) -- Status:


 * PM: e is irrational (proof), id=2795 -- WP: Proof that e is irrational -- Status: N
 * Chenxlee (talk) 02:32, 9 July 2008 (UTC)


 * PM: e is not a quadratic irrational, id=5426 -- WP guess: e is not a quadratic irrational -- Status:


 * PM: if a^n is irrational then a is irrational, id=5779 -- WP guess: if a^n is irrational then a is irrational -- Status:


 * PM: irrational, id=661 -- WP: Irrational number -- Status: N
 * Chenxlee (talk) 02:41, 9 July 2008 (UTC)


 * PM: rational and irrational, id=6677 -- WP guess: rational and irrational -- Status:


 * PM: square root of 2 is irrational, id=2920 -- WP: Square root of 2 -- Status: N
 * Chenxlee (talk) 02:41, 9 July 2008 (UTC)


 * PM: e^r is irrational for r\in\mathbb{Q}\setminus\{0\}, id=6872 -- WP guess: e^r is irrational for r\in\mathbbQ\setminus\0\ -- Status:


 * PM: proof that e is not a natural number, id=7598 -- WP guess: proof that e is not a natural number -- Status:


 * PM: alternative proof that \sqrt{2} is irrational, id=9183new! -- WP: alternative proof that \sqrt2 is irrational -- Status:


 * PM: e is irrational, id=9330new! -- WP guess: e is irrational -- Status:

11J81 Transcendence (general theory)

 * PM: ApÃ©ry's constant, id=4021 -- WP: Apéry's constant -- Status: A
 * linas 01:36, 14 July 2005 (UTC)


 * PM: example of four exponentials conjecture, id=5570 -- WP guess: example of four exponentials conjecture -- Status:


 * PM: four exponentials conjecture, id=4349 -- WP guess: four exponentials conjecture -- Status:


 * PM: fundamental theorem of transcendence, id=3546 -- WP: none -- Status: N
 * KimJ, the owner of this article, mentioned to me that this was a joke entry. I concur.  Even though it's true, this "theorem" doesn't go by this name except as a joke.  CryptoDerk 02:48, Feb 2, 2005 (UTC)


 * PM: Gelfond's theorem, id=3952 -- WP guess: Gelfond's theorem -- Status:


 * PM: six exponentials theorem, id=4348 -- WP guess: six exponentials theorem -- Status:


 * PM: transcendental number, id=656 -- WP guess: transcendental number -- Status:


 * PM: e is transcendental, id=6929 -- WP guess: e is transcendental -- Status:


 * PM: example of transcendental number, id=6760 -- WP guess: example of transcendental number -- Status:


 * PM: Liouville number, id=9657new! -- WP guess: Liouville number -- Status:

11J82 Measures of irrationality and of transcendence

 * PM: irrationality measure, id=5639 -- WP guess: irrationality measure -- Status:

11J85 Algebraic independence; Gelfond's method

 * PM: proof of Lindemann-Weierstrass theorem and that e and \pi are transcendental, id=9438new! -- WP guess: proof of Lindemann-Weierstrass theorem and that e and \pi are transcendental -- Status:


 * PM: Zariski lemma, id=9650new! -- WP guess: Zariski lemma -- Status:

11K06 General theory of distribution modulo $1$

 * PM: uniformly distributed, id=5746 -- WP guess: uniformly distributed -- Status:


 * PM: Weyl's criterion, id=5747 -- WP guess: Weyl's criterion -- Status:

11K16 Normal numbers, radix expansions, etc.

 * PM: absolutely normal, id=4159 -- WP guess: absolutely normal -- Status:

11K45 Pseudo-random numbers; Monte Carlo methods

 * PM: Monte Carlo methods, id=1269 -- WP guess: Monte Carlo methods -- Status:


 * PM: pseudorandom numbers, id=1274 -- WP guess: pseudorandom numbers -- Status:


 * PM: quasirandom numbers, id=1278 -- WP guess: quasirandom numbers -- Status:


 * PM: random numbers, id=1280 -- WP guess: random numbers -- Status:


 * PM: truly random numbers, id=1277 -- WP guess: truly random numbers -- Status:

11L03 Trigonometric and exponential sums, general

 * PM: Ramanujan sum, id=1504 -- WP guess: Ramanujan sum -- Status:

11L05 Gauss and Kloosterman sums; generalizations

 * PM: derivation of Gauss sum up to a sign, id=4319 -- WP guess: derivation of Gauss sum up to a sign -- Status:


 * PM: Gauss sum, id=3126 -- WP: Gauss sum -- Status: A
 * linas 03:18, 13 Mar 2005 (UTC)


 * PM: Kloosterman sum, id=4769 -- WP: Kloosterman sum -- Status: A
 * Jtwdog 17:57, 28 October 2005 (UTC)


 * PM: Landsberg-Schaar relation, id=3926 -- WP guess: Landsberg-Schaar relation -- Status:

11L40 Estimates on character sums

 * PM: PÃ³lya-Vinogradov inequality, id=3084 -- WP guess: Pólya-Vinogradov inequality -- Status:

11M06 $\zeta (s)$ and $L(s, \chi)$

 * PM: Dedekind zeta function, id=3854 -- WP guess: Dedekind zeta function -- Status:


 * PM: Dirichlet L-series, id=3905 -- WP: Dirichlet L-series -- Status: NM
 * linas 22:47, 12 Mar 2005 (UTC)


 * PM: functional equation for the Riemann theta function, id=3942 -- WP guess: functional equation for the Riemann theta function -- Status:


 * PM: functional equation for the Riemann Xi function, id=3946 -- WP: Riemann Xi function -- Status: N
 * linas 20:40, 2 June 2006 (UTC)


 * PM: generalized Riemann hypothesis, id=4662 -- WP: generalized Riemann hypothesis -- Status: A
 * linas 22:49, 12 Mar 2005 (UTC)


 * PM: proof of functional equation for the Riemann theta function, id=4023 -- WP guess: proof of functional equation for the Riemann theta function -- Status:


 * PM: Riemann theta-function, id=3940 -- WP guess: Riemann theta-function -- Status:


 * PM: Riemann omega function, id=3945 -- WP guess: Riemann omega function -- Status:


 * PM: Riemann Xi function, id=3943 -- WP: Riemann Xi function -- Status: C
 * linas 20:18, 2 June 2006 (UTC)


 * PM: L(\chi,1)\neq 0 if \chi is a real Dirichlet character, id=8633new! -- WP guess: L(\chi,1)\neq 0 if \chi is a real Dirichlet character -- Status:


 * PM: convergence of Riemann zeta series, id=9853new! -- WP guess: convergence of Riemann zeta series -- Status:


 * PM: critical strip, id=8191new! -- WP guess: critical strip -- Status:


 * PM: Factorization of the Dedekind zeta function of an abelian number field, id=8062new! -- WP guess: Factorization of the Dedekind zeta function of an abelian number field -- Status:


 * PM: Siegel-Klingen Theorem, id=8061new! -- WP guess: Siegel-Klingen Theorem -- Status:


 * PM: value of the Riemann zeta function at s=0, id=8190new! -- WP guess: value of the Riemann zeta function at s=0 -- Status:


 * PM: values of Dedekind zeta functions of real quadratic number fields at negative integers, id=8064new! -- WP guess: values of Dedekind zeta functions of real quadratic number fields at negative integers -- Status:


 * PM: values of the Dedekind zeta function of \mathbb{Q}(\sqrt{5}) at negative integers, id=8065new! -- WP guess: values of the Dedekind zeta function of \mathbbQ(\sqrt5) at negative integers -- Status:

11M35 Hurwitz and Lerch zeta functions

 * PM: generalized zeta function, id=8285new! -- WP guess: generalized zeta function -- Status:

11M41 Other Dirichlet series and zeta functions

 * PM: \eta (1) =\ln 2, id=8261new! -- WP guess: \eta (1) =\ln 2 -- Status:


 * PM: analytic continuation of Riemann zeta to critical strip, id=9150new! -- WP guess: analytic continuation of Riemann zeta to critical strip -- Status:

11M99 Miscellaneous

 * PM: formulae for zeta in the critical strip, id=4040 -- WP guess: formulae for zeta in the critical strip -- Status:


 * PM: functional equation of the Riemann zeta function, id=4661 -- WP guess: functional equation of the Riemann zeta function -- Status:


 * PM: Riemann zeta function, id=2896 -- WP guess: Riemann zeta function -- Status:


 * PM: value of the Riemann zeta function at s=2, id=4719 -- WP guess: value of the Riemann zeta function at s=2 -- Status:


 * PM: values of the Riemann zeta function in terms of Bernoulli numbers, id=6960 -- WP guess: values of the Riemann zeta function in terms of Bernoulli numbers -- Status:

11N05 Distribution of primes

 * PM: Bertrand's conjecture, id=251 -- WP: Bertrand's conjecture -- Status: A
 * linas 03:40, 13 Mar 2005 (UTC)


 * PM: Brun's constant, id=3847 -- WP: Brun's constant -- Status: A
 * linas 03:35, 13 Mar 2005 (UTC)


 * PM: proof of Bertrand's conjecture, id=3822 -- WP: proof of Bertrand's conjecture -- Status: NC
 * linas 03:42, 13 Mar 2005 (UTC)


 * PM: twin prime conjecture, id=3883 -- WP: twin prime conjecture -- Status: A
 * linas 03:32, 13 Mar 2005 (UTC)


 * PM: prime triples conjecture, id=4211 -- WP guess: prime triples conjecture -- Status:


 * PM: Brun's constant for prime quadruplets, id=8171new! -- WP guess: Brun's constant for prime quadruplets -- Status:


 * PM: Carol number, id=8317new! -- WP guess: Carol number -- Status:


 * PM: Chen prime, id=8128new! -- WP guess: Chen prime -- Status:


 * PM: Chen's theorem, id=8456new! -- WP guess: Chen's theorem -- Status:


 * PM: cuban prime, id=8452new! -- WP guess: cuban prime -- Status:


 * PM: Cunningham chain, id=8129new! -- WP guess: Cunningham chain -- Status:


 * PM: cyclic number, id=9000new! -- WP guess: cyclic number -- Status:


 * PM: full reptend prime, id=8139new! -- WP guess: full reptend prime -- Status:


 * PM: Kynea number, id=8318new! -- WP guess: Kynea number -- Status:


 * PM: prime quadruplet, id=8101new! -- WP guess: prime quadruplet -- Status:


 * PM: Redmond-Sun conjecture, id=9828new! -- WP guess: Redmond-Sun conjecture -- Status:


 * PM: Stern prime, id=8446new! -- WP guess: Stern prime -- Status:

11N13 Primes in progressions

 * PM: Dirichlet's theorem on primes in arithmetic progressions, id=2000 -- WP guess: Dirichlet's theorem on primes in arithmetic progressions -- Status:


 * PM: special case of Dirichlet's theorem on primes in arithmetic progressions, id=6158 -- WP guess: special case of Dirichlet's theorem on primes in arithmetic progressions -- Status:


 * PM: Galois groups of finite abelian extensions of \mathbb{Q}, id=8434new! -- WP guess: Galois groups of finite abelian extensions of \mathbbQ -- Status:


 * PM: there are an infinite number of primes \equiv \pm 1\pmod 4, id=9218new! -- WP guess: there are an infinite number of primes \equiv \pm 1\pmod 4 -- Status:

11N25 Distribution of integers with specified multiplicative constraints

 * PM: power of an integer., id=5858 -- WP guess: power of an integer -- Status:

11N32 Primes represented by polynomials; other multiplicative structure of polynomial values

 * PM: Euler four-square identity, id=2839 -- WP: Euler four-square identity -- Status: A
 * AdamSmithee 15:35, 7 February 2006 (UTC)


 * PM: Schinzel's Hypothesis H, id=6953 -- WP guess: Schinzel's Hypothesis H -- Status:

11N35 Sieves

 * PM: Brun's pure sieve, id=5608 -- WP guess: Brun's pure sieve -- Status:


 * PM: sieve of Eratosthenes, id=5535 -- WP guess: sieve of Eratosthenes -- Status:

11N37 Asymptotic results on arithmetic functions

 * PM: \displaystyle x\log^2x=O\left(\sum_{n \le x} 2^{\Omega(n)} \right), id=8236new! -- WP guess: \displaystyle x\log^2x=O\left(\sum_n \le x 2^\Omega(n) \right) -- Status:


 * PM: \displaystyle \sum_{n \le x} (\tau(n))^a=O_a(x(\log x)^{2^a-1}) for a \ge 0, id=8248new! -- WP guess: \displaystyle \sum_n \le x (\tau(n))^a=O_a(x(\log x)^2^a-1) for a \ge 0 -- Status:


 * PM: \displaystyle \sum_{n \le x} y^{\Omega(n)}=O\left( \frac{x(\log x)^{y-1}}{2-y} \right) for 1 \le y&lt;2, id=8235new! -- WP guess: \displaystyle \sum_n \le x y^\Omega(n)=O\left( \fracx(\log x)^y-12-y \right) for 1 \le y&lt;2 -- Status:


 * PM: \displaystyle \sum_{n \le x} y^{\omega(n)}=O_y(x(\log x)^{y-1}) for y \ge 0, id=8279new! -- WP guess: \displaystyle \sum_n \le x y^\omega(n)=O_y(x(\log x)^y-1) for y \ge 0 -- Status:


 * PM: asymptotic estimate, id=8027new! -- WP guess: asymptotic estimate -- Status:


 * PM: asymptotic estimates for real-valued nonnegative multiplicative functions, id=8223new! -- WP guess: asymptotic estimates for real-valued nonnegative multiplicative functions -- Status:


 * PM: convolution method, id=7989new! -- WP guess: convolution method -- Status:


 * PM: Dirichlet hyperbola method, id=7990new! -- WP guess: Dirichlet hyperbola method -- Status:


 * PM: Wirsing condition, id=8224new! -- WP guess: Wirsing condition -- Status:

11N56 Rate of growth of arithmetic functions

 * PM: highly composite number, id=4347 -- WP guess: highly composite number -- Status:

11N80 Generalized primes and integers

 * PM: ideal, id=371 -- WP guess: ideal -- Status:


 * PM: internal direct sum of ideals, id=6489 -- WP guess: internal direct sum of ideals -- Status:


 * PM: every PID is a UFD, id=9196new! -- WP guess: every PID is a UFD -- Status:


 * PM: regular ideal, id=7666new! -- WP guess: regular ideal -- Status:

11P05 Waring's problem and variants

 * PM: Lagrange's four-square theorem, id=2838 -- WP guess: Lagrange's four-square theorem -- Status:


 * PM: proof of Lagrange's four-square theorem, id=3871 -- WP guess: proof of Lagrange's four-square theorem -- Status:

11P32 Goldbach-type theorems; other additive questions involving primes

 * PM: Levy's conjecture, id=9822new! -- WP guess: Levy's conjecture -- Status:

11P81 Elementary theory of partitions

 * PM: pentagonal number theorem, id=4733 -- WP: pentagonal number theorem -- Status: NM
 * The PM article has a nice proof of the theorem. linas 01:28, 13 Mar 2005 (UTC)

11R04 Algebraic numbers; rings of algebraic integers

 * PM: y^2= x^3-2, id=6544 -- WP guess: y^2= x^3-2 -- Status:


 * PM: algebraic, id=705 -- WP guess: algebraic -- Status:


 * PM: algebraic conjugates, id=4749 -- WP guess: algebraic conjugates -- Status:


 * PM: algebraic integer, id=210 -- WP: algebraic integer -- Status: NM
 * The PM article is more pleasently rigorous/clearer. linas 01:35, 13 Mar 2005 (UTC)


 * PM: algebraic number, id=209 -- WP: algebraic number -- Status: A
 * linas 01:32, 13 Mar 2005 (UTC)


 * PM: calculating the splitting of primes, id=4635 -- WP guess: calculating the splitting of primes -- Status:


 * PM: Dedekind domain, id=2854 -- WP guess: Dedekind domain -- Status:


 * PM: Dirichlet's unit theorem, id=3911 -- WP guess: Dirichlet's unit theorem -- Status:


 * PM: Eisenstein integers, id=208 -- WP guess: Eisenstein integers -- Status:


 * PM: fundamental units, id=6080 -- WP guess: fundamental units -- Status:


 * PM: Galois representation, id=4042 -- WP: Galois representation -- Status: NM
 * It might be easier to just copy, and throw away the current WP article. linas 01:44, 13 Mar 2005 (UTC)


 * PM: Gaussian integer, id=207 -- WP: Gaussian integer -- Status: NM
 * edited, actually ... the PM article is structured better, and is easier to read. linas 01:42, 13 Mar 2005 (UTC)


 * PM: ideal classes form an abelian group, id=3151 -- WP guess: ideal classes form an abelian group -- Status:


 * PM: ideals in a Dedekind domain, id=3154 -- WP guess: ideals in a Dedekind domain -- Status:


 * PM: integral basis, id=2853 -- WP guess: integral basis -- Status:


 * PM: integrally closed, id=2867 -- WP guess: integrally closed -- Status:


 * PM: proof of transcendental root theorem, id=5625 -- WP guess: proof of transcendental root theorem -- Status:


 * PM: transcendental root theorem, id=5431 -- WP guess: transcendental root theorem -- Status:


 * PM: two-generator property, id=5645 -- WP guess: two-generator property -- Status:


 * PM: units of quadratic fields, id=5726 -- WP guess: units of quadratic fields -- Status:


 * PM: p-adic cyclotomic character, id=7521 -- WP guess: p-adic cyclotomic character -- Status:


 * PM: algebraic sum and product, id=7320 -- WP guess: algebraic sum and product -- Status:


 * PM: canonical basis, id=7165 -- WP guess: canonical basis -- Status:


 * PM: fundamental character of level n for the inertia group at p, id=7525 -- WP guess: fundamental character of level n for the inertia group at p -- Status:


 * PM: ideal decomposition in Dedekind domain, id=7219 -- WP guess: ideal decomposition in Dedekind domain -- Status:


 * PM: invertibility of regularly generated ideal, id=6984 -- WP guess: invertibility of regularly generated ideal -- Status:


 * PM: minimality of integral basis, id=7164 -- WP guess: minimality of integral basis -- Status:


 * PM: multiples of an algebraic number, id=7126 -- WP guess: multiples of an algebraic number -- Status:


 * PM: norm and trace of algebraic number, id=7125 -- WP guess: norm and trace of algebraic number -- Status:


 * PM: theory of algebraic and transcendental numbers, id=7004 -- WP guess: theory of algebraic and transcendental numbers -- Status:


 * PM: theory of rational and irrational numbers, id=7007 -- WP guess: theory of rational and irrational numbers -- Status:


 * PM: classification of complex numbers, id=9215new! -- WP guess: classification of complex numbers -- Status:


 * PM: conjugate fields, id=9487new! -- WP guess: conjugate fields -- Status:


 * PM: conjugation (mnemonic), id=8052new! -- WP guess: conjugation (mnemonic) -- Status:


 * PM: Eisenstein prime, id=8253new! -- WP guess: Eisenstein prime -- Status:


 * PM: example of a Bezout domain that is not a PID, id=9220new! -- WP guess: example of a Bezout domain that is not a PID -- Status:


 * PM: examples of Gaussian primes, id=9121new! -- WP guess: examples of Gaussian primes -- Status:


 * PM: examples of integrally closed extensions, id=9311new! -- WP guess: examples of integrally closed extensions -- Status:


 * PM: ideal norm, id=7672new! -- WP guess: ideal norm -- Status:


 * PM: norm-Euclidean number field, id=9124new! -- WP guess: norm-Euclidean number field -- Status:


 * PM: number field that is not norm-Euclidean, id=9217new! -- WP guess: number field that is not norm-Euclidean -- Status:


 * PM: power basis over \mathbb{Z}, id=7960new! -- WP guess: power basis over \mathbbZ -- Status:


 * PM: proof of norm and trace of algebraic number, id=7998new! -- WP guess: proof of norm and trace of algebraic number -- Status:


 * PM: quadratic imaginary norm-Euclidean number fields, id=9126new! -- WP guess: quadratic imaginary norm-Euclidean number fields -- Status:


 * PM: units of real cubic fields with exactly one real embedding, id=8090new! -- WP guess: units of real cubic fields with exactly one real embedding -- Status:

11R11 Quadratic extensions

 * PM: prime ideal decomposition in quadratic extensions of \mathbb{Q}, id=4643 -- WP guess: prime ideal decomposition in quadratic extensions of \mathbbQ -- Status:


 * PM: proof of prime ideal decomposition in quadratic extensions of \mathbb{Q}, id=8002new! -- WP guess: proof of prime ideal decomposition in quadratic extensions of \mathbbQ -- Status:


 * PM: quadratic fields that are not isomorphic, id=8458new! -- WP guess: quadratic fields that are not isomorphic -- Status:

11R16 Cubic and quartic extensions

 * PM: biquadratic extension, id=7948new! -- WP guess: biquadratic extension -- Status:


 * PM: biquadratic field, id=7949new! -- WP guess: biquadratic field -- Status:


 * PM: pure cubic field, id=8088new! -- WP guess: pure cubic field -- Status:

11R18 Cyclotomic extensions

 * PM: cyclotomic units, id=5644 -- WP guess: cyclotomic units -- Status:


 * PM: examples of regular primes, id=5494 -- WP guess: examples of regular primes -- Status:


 * PM: Kronecker–Weber theorem, id=4620 -- WP: Kronecker–Weber theorem -- Status: NM
 * linas 01:46, 13 Mar 2005 (UTC)


 * PM: prime ideal decomposition in cyclotomic extensions of \mathbb{Q}, id=4644 -- WP guess: prime ideal decomposition in cyclotomic extensions of \mathbbQ -- Status:


 * PM: regular prime, id=3040 -- WP guess: regular prime -- Status:


 * PM: the cyclotomic units are algebraic units, id=5657 -- WP guess: the cyclotomic units are algebraic units -- Status:


 * PM: index of the group of cyclotomic units in the full unit group, id=7661new! -- WP guess: index of the group of cyclotomic units in the full unit group -- Status:

11R27 Units and factorization

 * PM: p-adic regulator, id=5679 -- WP: p-adic regulator -- Status: NC
 * PM article is mis-categorized, needs to be with other p-adic topics linas 04:06, 13 Mar 2005 (UTC)


 * PM: Leopoldt's conjecture, id=5684 -- WP guess: Leopoldt's conjecture -- Status:


 * PM: regulator, id=4663 -- WP guess: regulator -- Status:


 * PM: unique factorization and ideals in ring of integers, id=9171new! -- WP guess: unique factorization and ideals in ring of integers -- Status:

11R29 Class numbers, class groups, discriminants

 * PM: class number formula, id=4664 -- WP: class number formula -- Status: C
 * Jtwdog 17:54, 28 October 2005 (UTC)


 * PM: discriminant, id=2895 -- WP: discriminant -- Status: NM
 * linas 01:49, 13 Mar 2005 (UTC)


 * PM: existence of Hilbert class field, id=2870 -- WP: Hilbert class field -- Status: C
 * Jtwdog 17:54, 28 October 2005 (UTC)


 * PM: Herbrand's theorem, id=5647 -- WP: Herbrand's theorem -- Status: A
 * Jtwdog 17:54, 28 October 2005 (UTC)


 * PM: ideal class, id=2869 -- WP guess: ideal class -- Status:


 * PM: ray class group, id=3164 -- WP guess: ray class group -- Status:


 * PM: Stickelberger's theorem, id=5642 -- WP guess: Stickelberger's theorem -- Status:


 * PM: Thaine's theorem, id=5643 -- WP guess: Thaine's theorem -- Status:


 * PM: class number divisibility in p-extensions, id=6867 -- WP guess: class number divisibility in p-extensions -- Status:


 * PM: class number divisibility in cyclic extensions, id=6868 -- WP guess: class number divisibility in cyclic extensions -- Status:


 * PM: class number divisibility in extensions, id=6792 -- WP guess: class number divisibility in extensions -- Status:


 * PM: extensions without unramified subextensions and class number divisibility, id=6866 -- WP guess: extensions without unramified subextensions and class number divisibility -- Status:


 * PM: push-down theorem on class numbers, id=6815 -- WP guess: push-down theorem on class numbers -- Status:


 * PM: root-discriminant, id=6824 -- WP guess: root-discriminant -- Status:


 * PM: topics on ideal class groups and discriminants, id=6869 -- WP guess: topics on ideal class groups and discriminants -- Status:


 * PM: unramified extensions and class number divisibility, id=6765 -- WP guess: unramified extensions and class number divisibility -- Status:


 * PM: Vandiver's conjecture, id=6727 -- WP guess: Vandiver's conjecture -- Status:


 * PM: an exact sequence for ray class groups, id=7660new! -- WP guess: an exact sequence for ray class groups -- Status:

11R32 Galois theory

 * PM: constructible angles with integer values in degrees, id=5728 -- WP guess: constructible angles with integer values in degrees -- Status:


 * PM: fundamental theorem of Galois theory, id=1327 -- WP guess: fundamental theorem of Galois theory -- Status:


 * PM: Galois criterion for solvability of a polynomial by radicals, id=1338 -- WP guess: Galois criterion for solvability of a polynomial by radicals -- Status:


 * PM: Hilbert Theorem 90, id=1435 -- WP: Hilbert Theorem 90 -- Status: A
 * Jeekc 11:35, 8 November 2005 (UTC)


 * PM: proof of fundamental theorem of Galois theory, id=5958 -- WP guess: proof of fundamental theorem of Galois theory -- Status:


 * PM: additive form of Hilbert's theorem 90, id=7163 -- WP guess: additive form of Hilbert's theorem 90 -- Status:


 * PM: Galois group of the compositum of two Galois extensions, id=6794 -- WP guess: Galois group of the compositum of two Galois extensions -- Status:


 * PM: inverse Galois problem, id=6728 -- WP guess: inverse Galois problem -- Status:


 * PM: proof of additive form of Hilbert's theorem 90, id=7179 -- WP guess: proof of additive form of Hilbert's theorem 90 -- Status:


 * PM: proof of Hilbert Theorem 90, id=7134 -- WP guess: proof of Hilbert Theorem 90 -- Status:


 * PM: Shafarevich's theorem, id=6729 -- WP guess: Shafarevich's theorem -- Status:


 * PM: the compositum of a Galois extension and another extension is Galois, id=6791 -- WP guess: the compositum of a Galois extension and another extension is Galois -- Status:

11R37 Class field theory

 * PM: Artin map, id=2831 -- WP guess: Artin map -- Status:


 * PM: modulus, id=2841 -- WP guess: modulus -- Status:


 * PM: multiplicative congruence, id=3163 -- WP guess: multiplicative congruence -- Status:


 * PM: ray class field, id=4648 -- WP guess: ray class field -- Status:


 * PM: Tchebotarev density theorem, id=3093 -- WP guess: Tchebotarev density theorem -- Status:


 * PM: Kronecker's Jugendtraum, id=6726 -- WP guess: Kronecker's Jugendtraum -- Status:

11R52 Quaternion and other division algebras: arithmetic, zeta functions

 * PM: Mazur's structure theorem, id=6501 -- WP guess: Mazur's structure theorem -- Status:


 * PM: quaternion algebra, id=2894 -- WP guess: quaternion algebra -- Status:

11R56 AdÃ¨le rings and groups

 * PM: adÃ¨le, id=2927 -- WP: adele ring -- Status: NM
 * linas 03:47, 13 Mar 2005 (UTC)


 * PM: idÃ¨le, id=2926 -- WP: idele -- Status: NM
 * linas 03:49, 13 Mar 2005 (UTC)


 * PM: restricted direct product, id=2845 -- WP guess: restricted direct product -- Status:


 * PM: grössencharacter, id=7709new! -- WP guess: grössencharacter -- Status:

11R58 Arithmetic theory of algebraic function fields

 * PM: function field, id=7484 -- WP guess: function field -- Status:


 * PM: Riemann-Hurwitz theorem, id=7486 -- WP guess: Riemann-Hurwitz theorem -- Status:

11R99 Miscellaneous

 * PM: alternative definition of valuation, id=6618 -- WP guess: alternative definition of valuation -- Status:


 * PM: extension of Krull valuation, id=6621 -- WP: extension of Krull valuation -- Status: NC
 * linas 04:00, 13 Mar 2005 (UTC)


 * PM: Henselian field, id=4047 -- WP guess: Henselian field -- Status:


 * PM: independence of p-adic valuations, id=5636 -- WP guess: independence of p-adic valuations -- Status:


 * PM: independence of valuations, id=5626 -- WP guess: independence of valuations -- Status:


 * PM: Krull valuation, id=6596 -- WP: Krull valuation -- Status: NC
 * linas 04:00, 13 Mar 2005 (UTC)


 * PM: Krull valuation domain, id=6603 -- WP: Krull valuation domain -- Status: NC
 * linas 04:00, 13 Mar 2005 (UTC)


 * PM: proof of equivalence of definitions of valuation, id=6622 -- WP guess: proof of equivalence of definitions of valuation -- Status:


 * PM: trivial valuation, id=5811 -- WP: trivial Krull valuation -- Status: NC
 * linas 04:00, 13 Mar 2005 (UTC)


 * PM: ultrametric triangle inequality, id=6587 -- WP guess: ultrametric triangle inequality -- Status:


 * PM: valuation, id=2835 -- WP: p-adic valuation -- Status: NC
 * linas 03:54, 13 Mar 2005 (UTC)


 * PM: valuation determined by valuation domain, id=6602 -- WP guess: valuation determined by valuation domain -- Status:


 * PM: extension of valuation from complete base field, id=6724 -- WP guess: extension of valuation from complete base field -- Status:


 * PM: alternative definition of Krull valuation, id=9322new! -- WP guess: alternative definition of Krull valuation -- Status:


 * PM: order valuation, id=9147new! -- WP guess: order valuation -- Status:

11S15 Ramification and extension theory

 * PM: decomposition group, id=3022 -- WP guess: decomposition group -- Status:


 * PM: examples of prime ideal decomposition in number fields, id=4628 -- WP guess: examples of prime ideal decomposition in number fields -- Status:


 * PM: inertial degree, id=2902 -- WP guess: inertial degree -- Status:


 * PM: ramification index, id=2868 -- WP guess: ramification index -- Status:


 * PM: unramified action, id=4702 -- WP guess: unramified action -- Status:


 * PM: examples of ramification of archimedean places, id=6864 -- WP guess: examples of ramification of archimedean places -- Status:


 * PM: ramification of archimedean places, id=6861 -- WP guess: ramification of archimedean places -- Status:


 * PM: splitting and ramification in number fields and Galois extensions, id=6818 -- WP guess: splitting and ramification in number fields and Galois extensions -- Status:


 * PM: the ramification index and the inertial degree are multiplicative in towers, id=6842 -- WP guess: the ramification index and the inertial degree are multiplicative in towers -- Status:

11S31 Class field theory; $p$-adic formal groups

 * PM: Hilbert symbol, id=3175 -- WP guess: Hilbert symbol -- Status:

11S80 Other analytic theory (analogues of beta and gamma functions, $p$-adic integration, etc.)

 * PM: p-adic analytic, id=7001 -- WP guess: p-adic analytic -- Status:


 * PM: p-adic exponential and p-adic logarithm, id=7000 -- WP guess: p-adic exponential and p-adic logarithm -- Status:

11S99 Miscellaneous

 * PM: p-adic integers, id=3118 -- WP guess: p-adic integers -- Status:


 * PM: local field, id=3119 -- WP guess: local field -- Status:


 * PM: complex p-adic numbers, id=6998 -- WP guess: complex p-adic numbers -- Status:


 * PM: examples for Hensel's lemma, id=6888 -- WP guess: examples for Hensel's lemma -- Status:


 * PM: Hensel's lemma, id=6886 -- WP guess: Hensel's lemma -- Status:


 * PM: proof of Hensel's lemma, id=7432 -- WP guess: proof of Hensel's lemma -- Status:


 * PM: Teichmüller character, id=6898 -- WP guess: Teichmüller character -- Status:

11T23 Exponential sums

 * PM: freshman's dream, id=7839new! -- WP guess: freshman's dream -- Status:

11T71 Algebraic coding theory; cryptography

 * PM: binary Golay code, id=5891 -- WP guess: binary Golay code -- Status:


 * PM: perfect code, id=5892 -- WP guess: perfect code -- Status:

11T99 Miscellaneous

 * PM: finite field, id=2893 -- WP guess: finite field -- Status:


 * PM: Frobenius map, id=2830 -- WP guess: Frobenius map -- Status:


 * PM: generator for the mutiplicative group of a field, id=9143new! -- WP guess: generator for the mutiplicative group of a field -- Status:

11Y11 Primality

 * PM: Miller-Rabin prime test, id=6589 -- WP guess: Miller-Rabin prime test -- Status:


 * PM: Solovay-Strassen test, id=5978 -- WP guess: Solovay-Strassen test -- Status:

11Y40 Algebraic number theory computations

 * PM: symbolic computation, id=1139 -- WP guess: symbolic computation -- Status:

11Y55 Calculation of integer sequences

 * PM: Kolakoski sequence, id=3108 -- WP guess: Kolakoski sequence -- Status:

11Z05 Miscellaneous applications of number theory

 * PM: \tau function, id=4085 -- WP: Divisor function -- Status: A
 * linas 22:21, 12 Mar 2005 (UTC)


 * PM: arithmetic derivative, id=4208 -- WP guess: arithmetic derivative -- Status: N, eccentric


 * Charles Matthews 10:48, 25 October 2005 (UTC)


 * PM: cryptography and number theory, id=5593 -- WP guess: cryptography and number theory -- Status:


 * PM: example of arithmetic derivative, id=4209 -- WP guess: example of arithmetic derivative -- Status: N, see above


 * Charles Matthews 10:48, 25 October 2005 (UTC)


 * PM: proof that \tau(n) is the number of positive divisors of n, id=4088 -- WP guess: proof that \tau(n) is the number of positive divisors of n -- Status: N, dull


 * Charles Matthews 10:49, 25 October 2005 (UTC)


 * PM: generalized Smarandache palindrome, id=9348new! -- WP guess: generalized Smarandache palindrome -- Status:


 * PM: quotient rule for arithmetic derivative, id=9372new! -- WP guess: quotient rule for arithmetic derivative -- Status: