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American mathematician
Hugh Lowell Montgomery (born August 26, 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 1974, Montgomery was an invited speaker of the
International Congress of Mathematicians (ICM) in Vancouver.
[2] In 2012, he became a fellow of the
American Mathematical Society .
[3]
Bibliography
Beauzamy, Bernard;
Bombieri, Enrico ;
Enflo, Per ;
Montgomery, Hugh L. (1990).
"Products of polynomials in many variables" (PDF) .
Journal of Number Theory . 36 (2): 219–245.
doi :
10.1016/0022-314X(90)90075-3 .
hdl :
2027.42/28840 .
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 .
[4]
Levinson, Norman; Montgomery, Hugh L.
"Zeros of the derivatives of the Riemann zeta function" . Acta Mathematica 133 (1974), 49–65.
doi :
10.1007/BF02392141
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.
doi :
10.1112/S0025579300004708
Montgomery, Hugh L., and Vaughan, Robert C.
Multiplicative number theory. I. Classical theory . Cambridge Studies in Advanced Mathematics, 97. Cambridge University Press, Cambridge, 2006. 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
[5]
Montgomery, H. L. (2014).
Early Fourier Analysis . The Sally Series. Pure and Applied Mathematical Texts, Vol. 22. American Mathematical Society.
ISBN
9781470415600 .
References
^
Hugh Lowell Montgomery at the
Mathematics Genealogy Project
^ Montgomery, Hugh L. (1974). "Distribution of the zeros of the Riemann zeta function". In: Proceedings Int. Cong. Math. Vancouver . Vol. 1. pp. 379–381.
^
List of Fellows of the American Mathematical Society , retrieved 2013-02-10.
^ Hassani, Medhi (July 16, 2008).
"Review of Multiplicative number theory , 3rd edition, revised and with a preface by Hugh L. Montgomery" . MAA Reviews, Mathematical Association of America .
^ Stenger, Allen (December 23, 2008).
"Review of An introduction to the theory of numbers , 5th edition, by Ivan M. Niven, Herbert S. Zuckerman, and Hugh L. Montgomery" . MAA Reviews, Mathematical Association of America .
External links
International National Academics People Other