User:Makya15/Books/Integer Factorization

Theory and Techniques

 * Algebraic Number Theory
 * Algebraic number theory
 * Fundamental theorem of arithmetic
 * Modular arithmetic
 * Ring (mathematics)
 * Ring theory
 * Commutative ring
 * Noncommutative ring
 * Hopkins–Levitzki theorem
 * Integer factorization
 * Primality test


 * Special Purpose Factorization
 * Trial division
 * Wheel factorization
 * Pollard's rho algorithm
 * Algebraic-group factorisation algorithm
 * Pollard's p − 1 algorithm
 * Williams' p + 1 algorithm
 * Fermat's factorization method
 * Euler's factorization method
 * Special number field sieve


 * Integral Domains to Finite Fields
 * Integral domain
 * Integrally closed domain
 * Unique factorization domain
 * Principal ideal domain
 * Euclidean domain
 * Field (mathematics)
 * Vector space
 * Finite field
 * Quasi-finite field
 * Local field
 * Global field
 * Hasse principle


 * Class Field Theory and Elliptic Curves
 * Class field theory
 * Abelian extension
 * Algebraic number field
 * Algebraic function field
 * Elliptic curve
 * Modularity theorem


 * General Purpose Factorization
 * Dixon's factorization method
 * Continued fraction factorization
 * Shanks' square forms factorization
 * Lenstra elliptic curve factorization
 * Quadratic sieve
 * Rational sieve
 * General number field sieve


 * Factorization and Cryptography
 * Public-key cryptography
 * RSA (cryptosystem)
 * Elliptic curve cryptography
 * Elliptic curve Diffie–Hellman