Martin Neil Huxley
Martin Huxley in 2008
Born1944
Worksop
Alma materUniversity of Cambridge
Known forAnalytic number theory
Sieve theory
Scientific career
FieldsMathematician
InstitutionsUniversity of Cardiff
Doctoral advisorHarold Davenport

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 pn denotes the n-th prime number and if θ > 7/12, then

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.

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