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Topics in Number Theory : In Honor of B. Gordon and S. Chowla : Mathematics and Its Applications - Scott D. Ahlgren

Topics in Number Theory : In Honor of B. Gordon and S. Chowla

Mathematics and Its Applications

By: Scott D. Ahlgren (Editor), George E. Andrews (Editor), Ken Ono (Editor)

Hardcover ISBN: 9780792355830
Number Of Pages: 264

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This volume contains the proceedings of the Topics in Number Theory Conference held at the Pennsylvania State University from July 31 through August 3, 1997. It contains seventeen research papers covering many areas of number theory; among them are contributions from four of the eight plenary speakers

Preface
Motivating the multiplicative spectrump. 1
Modular Mahler measures Ip. 17
Diophantine problems in many variables: The role of additive number theoryp. 49
Equations F(x, y, a[superscript x]) = 0p. 85
A fundamental invariant in the theory of partitionsp. 101
Congruence properties of values of L-functions and applicationsp. 115
On Tschirnhaus transformationsp. 127
Hecke operators and the nonvanishing of L-functionsp. 143
A new minor-arcs estimate for number fieldsp. 151
Modular functions, Maple and Andrews' tenth problemp. 163
Hecke characters and formal group charactersp. 181
On certain Gauss periods with common decomposition fieldp. 193
Theorems and conjectures involving rook polynomials with only real zerosp. 207
An example of an elliptic curve with a positive density of prime quadratic twists which have rank zerop. 223
Exponents of class groups of quadratic fieldsp. 229
A local-global principle for densitiesp. 241
Divisibility of the specialization map for twists of abelian varietiesp. 245
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792355830
ISBN-10: 0792355830
Series: Mathematics and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 264
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 24.0 x 16.0  x 1.5
Weight (kg): 0.56

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