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Hugh Montgomery is an American mathematician, working in the fields of analytic number theory and mathematical analysis. The United States of America —commonly referred to as the In Mathematics, analytic number theory is a branch of Number theory that uses methods from Mathematical analysis to solve number-theoretical problems Analysis has its beginnings in the rigorous formulation of Calculus. He earned his PhD from the University of Cambridge and now teaches at the University of Michigan. The University of Cambridge (often Cambridge University) located in Cambridge, England, is the second-oldest university in the The University of Michigan Ann Arbor ( U of M, U-M, UM or simply Michigan) is a top-ranked Coeducational public research

He is best known for his development of the large sieve methods and for co-authoring (with Ivan M. Niven and Herbert S. In Mathematics, the large sieve is a method of Analytic number theory. Ivan Morton Niven ( October 25 1915 &ndash May 9 1999) was a Canadian - American Mathematician, specializing in Zuckerman) one of the standard introductory number theory texts, An Introduction to the Theory of Numbers, now in its fifth edition (ISBN 0471625469).

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