Martin Huxley
From Wikipedia, the free encyclopedia
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 pn denotes the n-th prime number and if θ > 7/12, then
- pn+1 − pn < pθ,
for all sufficiently large n.
[edit] References
- ^ Huxley, M. N. (1972). "On the Difference between Consecutive Primes". Inventiones mathematicae 15: 164–170.