Topics in Number Theory: In Honor of B. Gordon and S. Chowla / Edition 1

Topics in Number Theory: In Honor of B. Gordon and S. Chowla / Edition 1

by Scott D. Ahlgren, S. Chowla
     
 

ISBN-10: 0792355830

ISBN-13: 9780792355830

Pub. Date: 03/31/1999

Publisher: Springer US

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  See more details below

Overview

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

Product Details

ISBN-13:
9780792355830
Publisher:
Springer US
Publication date:
03/31/1999
Series:
Mathematics and Its Applications (closed) Series, #467
Edition description:
1999
Pages:
264
Product dimensions:
6.30(w) x 9.45(h) x 0.03(d)

Related Subjects

Table of Contents

Preface
Motivating the multiplicative spectrum1
Modular Mahler measures I17
Diophantine problems in many variables: The role of additive number theory49
Equations F(x, y, a[superscript x]) = 085
A fundamental invariant in the theory of partitions101
Congruence properties of values of L-functions and applications115
On Tschirnhaus transformations127
Hecke operators and the nonvanishing of L-functions143
A new minor-arcs estimate for number fields151
Modular functions, Maple and Andrews' tenth problem163
Hecke characters and formal group characters181
On certain Gauss periods with common decomposition field193
Theorems and conjectures involving rook polynomials with only real zeros207
An example of an elliptic curve with a positive density of prime quadratic twists which have rank zero223
Exponents of class groups of quadratic fields229
A local-global principle for densities241
Divisibility of the specialization map for twists of abelian varieties245

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