Martin Neil Huxley FLSW (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 In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. It is often said to have begun with Peter Gustav Lejeune Dirichlet's 1837 introduction of Dir ...

. He was awarded a PhD from the

University of Cambridge The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...

in 1970, the year after his supervisor

Harold Davenport Harold Davenport FRS (30 October 1907 – 9 June 1969) was an English mathematician, known for his extensive work in number theory. Early life and education Born on 30 October 1907 in Huncoat, Lancashire, Davenport was educated at Accringto ...

had died. He is a professor at

Cardiff University Cardiff University () is a public research university in Cardiff, Wales. It was established in 1883 as the University College of South Wales and Monmouthshire and became a founding college of the University of Wales in 1893. It was renamed Unive ...

. 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 does not have the said property across all its ordered instances, but will after some instances have ...

''n''. Huxley also improved the known bound on the Dirichlet divisor problem. In 2011, Huxley was elected a

Fellow of the Learned Society of Wales The Learned Society of Wales () is a national academy, learned society and charity that exists to "celebrate, recognise, preserve, protect and encourage excellence in all of the scholarly disciplines", and to serve the Welsh nation. The Learned ...

References

External links

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