Hugh Montgomery is a mathematician working in multiplicative and analytic number theory. The Mathematics Genealogy Project records his Ph.D. from the University of Cambridge in 1972, with a dissertation titled Topics in Multiplicative Number Theory written under Harold Davenport, and lists many students at the University of Michigan, among them Sidney Graham, Steven Gonek, J. Brian Conrey and Russell Lyons. He is the author of the pair correlation conjecture of 1973, which describes the statistical spacing between pairs of zeros of the Riemann zeta function and which Andrew Odlyzko later supported with large-scale computer calculations of the zeros.
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Hugh Montgomery
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Conjectures Posed
Source Montgomery's Pair Correlation Conjecture (Wikipedia)
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Source University of Michigan Board of Regents: Hugh L. Montgomery retirement memoir (University of Michigan Regents)
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Source Hugh Montgomery (mathematician) (Wikipedia)LeadQuote, Lead
is an American mathematician, working in the fields of analytic number theory
Sources
1. University of Michigan Board of Regents: Hugh L. Montgomery retirement memoir (University of Michigan Regents)
University of Michigan Board of RegentsMemoirQuote, Memoir
He joined the University of Michigan faculty as an assistant professor in 1972
Hugh Montgomery (Mathematics Genealogy Project)
Montgomery's Pair Correlation Conjecture (Wikipedia)
Wikimedia FoundationConjectures Posed: Montgomery's Pair Correlation Conjecture, LeadQuote, Conjectures Posed: Montgomery's Pair Correlation Conjecture, Lead
a conjecture made by Hugh Montgomery (1973)
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