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Tables of Contents for Topics in Number Theory

Chapter/Section Title

Page #

Page Count

Preface

vii

G. Andrews

Motivating the multiplicative spectrum

1

16

A Granville

K. Soundararajan

Modular Mahler measures I

17

32

F. Rodriguez Villegas

Diophantine problems in many variables: The role of additive number theory

49

36

T. Wooley

Equations F (x,y,αx) = 0

85

16

S. Ahlgren

A fundamental invariant in the theory of partitions

101

14

K. Alladi

Congruence properties of values of L-functions and applications

115

12

J. Bruinier

K. James

W. Kohnen

K. Ono

C. Skinner

V. Vatsal

On Tschirnhaus transformations

127

16

J. Buhler

Z. Reichstein

Hecke operators and the nonvanishing of L-functions

143

8

J. B. Conrey

D. W. Farmer

A New minor-arcs estimate for number fields

151

12

M. Davidson

Modular functions, Maple and Andrews' tenth problem

163

18

F. Garvan

Hecke characters and formal group characters

181

12

L. Guo

On certain Gauss periods with common decomposition field

193

14

S. Gurak

Theorems and conjectures involving rook polynomials with only real zeros

207

16

J. Haglund

K. Ono

D. Wagner

An example of an elliptic curve with a positive density of prime quadratic twists which have rank zero

223

6

K. James

Exponents of class groups of quadratic fields

229

12

M. R. Murty

A local-global principle for densities

241

4

B. Poonen

M. Stoll

Divisibility of the specialization map for twists of abelian varieties

245

J. Silverman