Topics in number theory in honor of B. Gordon and S. Chowla ; [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] ed. by Scott D. Ahlgren ...

Papers from the Topics in Number Theory Conference held July 31-Aug. 3, 1997, at the Pennsylvania State University

Machine generated contents note: Preface -- G.Andrews vii -- Motivating the multiplicative spectrum -- A.Granville and K.Soundararajan 1 -- Modular Mahler measures I -- F.Rodriguez Villegas 17 -- Diophantine problems in many variables: The role of additive number -- theory -- T.Wooley 49 -- Equations F(x, y, a) = 0 -- S.Ahlgren 585 -- A fundamental invariant in the theory of partitions -- K .Alladi 101 -- Congruence properties of values of L-functions and applications -- J.Bruinier, K.James, W.Kohnen, K.Ono, C.Skinner, and V.Vatsal 115 -- On Tschirnhaus transformations -- J.Buhler and Z.Reichstein 127 -- Hecke operators and the nonvanishing of L-functions -- J.B.Conrey and D.W.Farmer 143 -- A new minor-arcs estimate for number fields -- M .Davidson 151 -- Modular functions, Maple and Andrews' tenth problem -- F.Garvan 163 -- Hecke characters and formal group characters -- L.Guo181 -- On certain Gauss periods with common decomposition field -- S.Gurak 193 -- Theorems and conjectures involving rook polynomials with only real -- zeros -- J.Haglund, K.Ono, and D.Wagner 207 -- An example of an elliptic curve with a positive density of prime quadratic -- twists which have rank zero -- K.James 223 -- Exponents of class groups of quadratic fields -- M.R.Murty 229 -- A local-global principle for densities -- B.Poonen and M.Stoll 241 -- Divisibility of the specialization map for twists of abelian varieties -- J.Silverman 245

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