Martin Neil Huxley (born in 1944) is a British

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

, working in the field of analytic number theory. He was awarded a PhD from the

University of Cambridge , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...

in 1970, the year after his supervisor Harold Davenport had died. He is a professor at

Cardiff University , latin_name = , image_name = Shield of the University of Cardiff.svg , image_size = 150px , caption = Coat of arms of Cardiff University , motto = cy, Gwirionedd, Undod a Chytgord , mottoeng = Truth, Unity and Concord , established = 1 ...

. Huxley proved a result on gaps between prime numbers, namely that if ''p''_''n'' denotes the ''n''-th prime number and if θ > 7/12, then :

p_ - p_n < p_n^\theta,

for all

sufficiently large In the mathematical areas of number theory and analysis, an infinite sequence or a function is said to eventually have a certain property, if it doesn't have the said property across all its ordered instances, but will after some instances have pa ...

''n''. Huxley also improved the known bound on the Dirichlet divisor problem.

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* Living people 21st-century British mathematicians 20th-century British mathematicians Number theorists Academics of Cardiff University Alumni of the University of Cambridge 1944 births {{UK-mathematician-stub