Martin Huxley

British mathematician

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

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

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". Inventiones Mathematicae. 15 (2): 164–170. doi:10.1007/BF01418933. S2CID 121217000.
2. Huxley, M. N. (2003). "Exponential sums and lattice points III". Proc. London Math. Soc. 87 (3): 591–609. doi:10.1112/S0024611503014485. ISSN 0024-6115. S2CID 119976855. Zbl 1065.11079.
3. Wales, The Learned Society of. "Martin Huxley". The Learned Society of Wales. Retrieved 30 August 2023.

External links

• Martin Huxley at the Mathematics Genealogy Project