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 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

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

for all sufficiently large n.

He has an Erdős number of 2 and an Einstein number of 3.

References

1. ^ Huxley, M. N. (1972). "On the Difference between Consecutive Primes". Inventiones Mathematicae 15 (2): 164–170. doi:10.1007/BF01418933.