Hugh Montgomery (mathematician)

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This article is about the American mathematician. For other persons named Hugh Montgomery, see Hugh Montgomery (disambiguation).
Hugh Lowell Montgomery
Hugh Montgomery at Oberwolfach 2008.jpg
Hugh Montgomery in 2008
Born 26 August 1944
Muncie, Indiana
Fields Mathematician
Institutions University of Michigan
Alma mater University of Cambridge
Doctoral advisor Harold Davenport
Doctoral students Brian Conrey
Known for Analytic number theory
Notable awards Adams Prize (1972)
Salem Prize (1974)

Hugh Lowell Montgomery (born 26 August 1944) is an American mathematician, working in the fields of analytic number theory and mathematical analysis. As a Marshall scholar, Montgomery earned his Ph.D. from the University of Cambridge.[1] 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).

In 2012 he became a fellow of the American Mathematical Society.[2]


  • Beauzamy, Bernard; Bombieri, Enrico; Enflo, Per; Montgomery, Hugh L. (1990). "Products of polynomials in many variables". Journal of Number Theory 36 (2): 219–245. doi:10.1016/0022-314X(90)90075-3.  MR 1072467
  • Davenport, Harold. Multiplicative number theory. Third edition. Revised and with a preface by Hugh L. Montgomery. Graduate Texts in Mathematics, 74. Springer-Verlag, New York, 2000. xiv+177 pp. ISBN 0-387-95097-4.
  • Levinson, Norman; Montgomery, Hugh L. "Zeros of the derivatives of the Riemann zeta function". Acta Math. 133 (1974), 49—65.
  • Montgomery, Hugh L. Topics in multiplicative number theory. Lecture Notes in Mathematics, Vol. 227. Springer-Verlag, Berlin-New York, 1971. ix+178 pp.
  • Montgomery, Hugh L. Ten lectures on the interface between analytic number theory and harmonic analysis. CBMS Regional Conference Series in Mathematics, 84. Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1994. xiv+220 pp. ISBN 0-8218-0737-4.
  • Montgomery, H. L.; Vaughan, R. C. The large sieve. Mathematika 20 (1973), 119—134.
  • Montgomery, Hugh L., and Vaughan, Robert C. Multiplicative number theory. I. Classical theory. Cambridge Studies in Advanced Mathematics, 97. Cambridge University Press, Cambridge, 2007. xviii+552 pp. ISBN 978-0-521-84903-6; 0-521-84903-9.
  • Niven, Ivan; Zuckerman, Herbert S.; Montgomery, Hugh L. An introduction to the theory of numbers. Fifth edition. John Wiley & Sons, Inc., New York, 1991. xiv+529 pp. ISBN 0-471-62546-9


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