Martin Huxley

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

Martin Neil Huxley (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.

References

1. Huxley, M. N. (1972). "On the difference between consecutive primes". Inventiones Mathematicae. 15 (2): 164–170. doi:10.1007/BF01418933.

External links

• Martin Huxley at the Mathematics Genealogy Project