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{{Infobox scientist | |||
|name = Martin Neil Huxley | |||
|image = Martin_Huxley_at_Oberwolfach_2008.jpg | |||
|image_size = 200px | |||
|caption = Martin Huxley in 2008 | |||
|birth_date = 1944 | |||
|birth_place = [[Worksop]] | |||
|death_date = | |||
|death_place = | |||
|residence = | |||
|citizenship = | |||
|nationality = | |||
|ethnicity = | |||
|fields = [[Mathematician]] | |||
|workplaces = [[University of Cardiff]] | |||
|alma_mater = [[University of Cambridge]] | |||
|doctoral_advisor = [[Harold Davenport]] | |||
|academic_advisors = | |||
|doctoral_students = | |||
|notable_students = | |||
|known_for = [[Analytic number theory]]<br>[[Sieve theory]] | |||
|author_abbrev_bot = | |||
|author_abbrev_zoo = | |||
|influences = | |||
|influenced = | |||
|awards = | |||
|religion = | |||
|signature = <!--(filename only)--> | |||
|footnotes = | |||
}} | |||
'''Martin Neil Huxley''' (born 1944) is a [[United Kingdom|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]],<ref name="huxley">{{cite journal | |||
| last = Huxley | |||
| first = M. N. | |||
| year = 1972 | |||
| title = ''On the Difference between Consecutive Primes'' | |||
| journal = Inventiones Mathematicae | |||
| volume = 15 | |||
| pages = 164–170 | |||
| doi = 10.1007/BF01418933 | |||
| issue = 2 | |||
}}</ref> namely that if ''p''<sub>''n''</sub> denotes the ''n''-th prime number and if θ > 7/12, then | |||
:<math> p_{n+1} - p_n < p_n^\theta, </math> | |||
for all [[sufficiently large]] ''n''. | |||
He has an [[Erdős number]] of 2 and an [[Einstein number]] of 3. | |||
==References== | |||
<references/> | |||
==External links== | |||
*{{MathGenealogy|69853}} | |||
{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. --> | |||
| NAME = Huxley, Martin Neil | |||
| ALTERNATIVE NAMES = | |||
| SHORT DESCRIPTION = British mathematician | |||
| DATE OF BIRTH = 1944 | |||
| PLACE OF BIRTH = [[Worksop]] | |||
| DATE OF DEATH = | |||
| PLACE OF DEATH = | |||
}} | |||
{{DEFAULTSORT:Huxley, Martin Neil}} | |||
[[Category:Living people]] | |||
[[Category:British mathematicians]] | |||
[[Category:Number theorists]] | |||
[[Category:Academics of Cardiff University]] | |||
[[Category:Alumni of the University of Cambridge]] | |||
[[Category:1944 births]] | |||
{{UK-mathematician-stub}} | |||
Revision as of 06:31, 23 May 2013
Template:Infobox scientist 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
for all sufficiently large n.
He has an Erdős number of 2 and an Einstein number of 3.
References
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