Martin Huxley

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

Martin Neil Huxley
Martin Huxley in 2008
Born	1944 Worksop
Alma mater	University of Cambridge
Known for	Analytic number theory Sieve theory
Scientific career
Fields	Mathematician
Institutions	University of Cardiff
Doctoral advisor	Harold Davenport

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