Topics in number theory Book

Preface; G. Andrews. Motivating the Multiplicative Spectrum; A. Granville, K. Soundararajan. Modular Mahler Measures I; F.R. Villegas. Diophantine Problems in Many Variables: The Role of Additive Number Theory; T. Wooley. Equations F(x,y,alphax)=0; S. Ahlgren. A Fundamental Invariant in the Theory of Partitions; K. Alladi. Congruence Properties of Values of L-Functions and Applications; J. Bruinier, et al. On Tschirnhaus Transformations; J. Buhler, Z. Reichstein. Hecke Operators and the Nonvanishing of L-Functions; J.B. Conrey, D.W. Farmer. A New Minor-Arcs Estimate for Number Fields; M. Davidson. Modular Functions, Maple and Andrews' Tenth Problem; F. Garvan. Hecke Characters and Formal Group Characters; L. Guo. On Certain Gauss Periods with Common Decomposition Field; S. Gurak. Theorems and Conjectures Involving Rook Polynomials with Only Real Zeros; J. Haglund, et al. An Example of an Elliptic Curve with a Positive Density of Prime Quadratic Twists Which Have Rank Zero; K. James. Exponents of Class Groups of Quadratic Fields; M.R. Murty. A Local-Global Principle for Densities; B. Poonen, M. Stoll. Divisibility of the Specialization Map for Twists of Abelian Varieties; J. Silverman.