Martin Huxley

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Martin Neil Huxley 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

p_n+1 − p_n < p^θ,

for all sufficiently large n.

[edit] References

1. ^ Huxley, M. N. (1972). "On the Difference between Consecutive Primes". Inventiones mathematicae 15: 164–170.