Martin Huxley

Martin Neil Huxley FLSW (born in 1944) is a British mathematician, working in the field of analytic number theory.

He was awarded a PhD from the University of Cambridge in 1970, the year after his supervisor Harold Davenport had died. He is a professor at Cardiff University.

Huxley proved a result on gaps between prime numbers, namely that if pn denotes the n-th prime number and if θ > 7/12, then


 * $$ p_{n+1} - p_n < p_n^\theta, $$

for all sufficiently large n.

Huxley also improved the known bound on the Dirichlet divisor problem.

In 2011, Huxley was elected a Fellow of the Learned Society of Wales.