Biography:Martin Huxley
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Short description: British mathematician
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 |
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
- [math]\displaystyle{ p_{n+1} - p_n \lt p_n^\theta, }[/math]
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
- ↑ Huxley, M. N. (1972). "On the difference between consecutive primes". Inventiones Mathematicae 15 (2): 164–170. doi:10.1007/BF01418933.
- ↑ 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.
- ↑ Wales, The Learned Society of. "Martin Huxley" (in en-US). https://www.learnedsociety.wales/fellow/martin-huxley-2/.
External links
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