Hugh Lowell Montgomery

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Hugh Lowell Montgomery
Hugh Montgomery in 2008
Alma materUniversity of Cambridge
Known forAnalytic number theory
Scientific career
FieldsMathematician
InstitutionsUniversity of Michigan
Doctoral advisorHarold Davenport
Doctoral studentsBrian Conrey

Hugh Montgomery (born 26 August 1944) 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).

Bibliography

  • 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. {{cite journal}}: Cite has empty unknown parameter: |unused_data= (help) MR1072467
  • 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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