Martin Huxley Explained

Martin Neil Huxley
Birth Date:	1944
Birth Place:	Worksop
Fields:	Mathematician
Workplaces:	University of Cardiff
Alma Mater:	University of Cambridge
Doctoral Advisor:	Harold Davenport
Known For:	Analytic number theory Sieve theory

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,^[1] namely that if p_n denotes the n-th prime number and if θ > 7/12, then

p _{n+1} - p _{n} < p ^{\theta,} _{n}

for all sufficiently large n.

Huxley also improved the known bound on the Dirichlet divisor problem.^[2]

In 2011, Huxley was elected a Fellow of the Learned Society of Wales.^[3]

References

1. Huxley . M. N. . 1972 . On the difference between consecutive primes . . 15 . 164–170 . 10.1007/BF01418933 . 2. 121217000 .
2. Huxley . M. N. . Martin Huxley . 2003 . Exponential sums and lattice points III . Proc. London Math. Soc. . 87 . 591–609 . 10.1112/S0024611503014485 . 3 . 1065.11079 . 119976855 . 0024-6115 .
3. Web site: Wales . The Learned Society of . Martin Huxley . 2023-08-30 . The Learned Society of Wales . en-US.