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OverviewNumber theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics. This volume consists of seven significant chapters on number theory and related topics. Written by distinguished mathematicians, key topics focus on multipartitions, congruences and identities (G. Andrews), the formulas of Koshliakov and Guinand in Ramanujan's Lost Notebook (B.C. Berndt, Y. Lee, and J. Sohn), alternating sign matrices and the Weyl character formulas (D.M. Bressoud), theta functions in complex analysis (H.M. Farkas), representation functions in additive number theory (M.B. Nathanson), and mock theta functions, ranks, and Maass forms (K. Ono), and elliptic functions (M. Waldschmidt). All of the surveys were outgrowths of featured talks given during the Special Year in Number Theory and Combinatorics at the University of Florida, Gainesville, 2004-2005, and describe major progress on a broad range of topics. This volume is intended for mathematicians and graduate students interested in number theory and related areas. Full Product DetailsAuthor: Krishnaswami AlladiPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2008 ed. Volume: 17 Dimensions: Width: 15.50cm , Height: 1.20cm , Length: 23.50cm Weight: 0.471kg ISBN: 9780387785097ISBN 10: 0387785094 Pages: 188 Publication Date: 31 July 2008 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsA Survey of Multipartitions Congruences and Identities.- Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook.- Exploiting Symmetries Alternating Sign Matrices and the Weyl Character Formulas.- Theta Functions in Complex Analysis and Number Theory.- Inverse Problems for Representation Functions in Additive Number Theory.- Mock Theta Functions Ranks and Maass Forms.- Elliptic Functions and Transcendence.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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