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OverviewThis 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 Full Product DetailsAuthor: Scott D. Ahlgren , George E. Andrews , Ken OnoPublisher: Springer Imprint: Springer Edition: 1999 ed. Volume: 467 Dimensions: Width: 16.00cm , Height: 1.50cm , Length: 24.00cm Weight: 0.560kg ISBN: 9780792355830ISBN 10: 0792355830 Pages: 264 Publication Date: 31 March 1999 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsMotivating the multiplicative spectrum.- Modular Mahler measures I.- Diophantine problems in many variables: The role of additive number theory.- Equations F(x, y, ?x) = 0.- A fundamental invariant in the theory of partitions.- Congruence properties of values of L-functions and applications.- On Tschirnhaus transformations.- Hecke operators and the nonvanishing of L-functions.- A new minor-arcs estimate for number fields.- Modular functions, Maple and Andrews’ tenth problem.- Hecke characters and formal group characters.- On certain Gauss periods with common decomposition field.- Theorems and conjectures involving rook polynomials with only real zeros.- An example of an elliptic curve with a positive density of prime quadratic twists which have rank zero.- Exponents of class groups of quadratic fields.- A local-global principle for densities.- Divisibility of the specialization map for twists of abelian varieties.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |