Hugh Montgomery
Encyclopedia
Hugh Montgomery is an American
mathematician, working in the fields of analytic number theory
and mathematical analysis
. As a Rhodes scholar, Montgomery earned his Ph.D. from the University of Cambridge
. For many years, Montgomery has been teaching at the University of Michigan
.
He is best known for Montgomery's pair correlation conjecture
, his development of the large sieve methods and for co-authoring (with Ivan M. Niven
and Herbert Zuckerman) one of the standard introductory number theory texts, An Introduction to the Theory of Numbers, now in its fifth edition (ISBN 0471625469).
United States
The United States of America is a federal constitutional republic comprising fifty states and a federal district...
mathematician, working in the fields of analytic number theory
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 Dirichlet's introduction of Dirichlet L-functions to give the first proof of Dirichlet's theorem on arithmetic...
and mathematical analysis
Mathematical analysis
Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and measure, limits, infinite series, and analytic functions...
. As a Rhodes scholar, Montgomery earned his Ph.D. from the University of Cambridge
University of Cambridge
The University of Cambridge is a public research university located in Cambridge, United Kingdom. It is the second-oldest university in both the United Kingdom and the English-speaking world , and the seventh-oldest globally...
. For many years, Montgomery has been teaching at the University of Michigan
University of Michigan
The University of Michigan is a public research university located in Ann Arbor, Michigan in the United States. It is the state's oldest university and the flagship campus of the University of Michigan...
.
He is best known for Montgomery's pair correlation conjecture
Montgomery's pair correlation conjecture
In mathematics, Montgomery's pair correlation conjecture is a conjecture made by that the pair correlation between pairs of zeros of the Riemann zeta function is1-\left^2 +\delta,...
, his development of the large sieve methods and for co-authoring (with Ivan M. Niven
Ivan M. Niven
Ivan Morton Niven was a Canadian-American mathematician, specializing in number theory. He was born in Vancouver. He did his undergraduate studies at the University of British Columbia and was awarded his doctorate in 1938 from the University of Chicago. He was a member of the University of Oregon...
and Herbert Zuckerman) one of the standard introductory number theory texts, An Introduction to the Theory of Numbers, now in its fifth edition (ISBN 0471625469).