| 书目名称 | Surveys in Number Theory | | 编辑 | Krishnaswami Alladi | | 视频video | http://file.papertrans.cn/883/882693/882693.mp4 | | 概述 | Surveys on major developments in modern number theory.Self-contained chapters presented by distinguished mathematicians in the field | | 丛书名称 | Developments in Mathematics | | 图书封面 |  | | 描述 | .Number 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.. | | 出版日期 | Book 2008 | | 关键词 | Complex analysis; Ramanujan‘s Lost Notebook; Weyl character formulas; calculus; maass forms; mock theta f | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-78510-3 | | isbn_softcover | 978-1-4419-2689-0 | | isbn_ebook | 978-0-387-78510-3Series ISSN 1389-2177 Series E-ISSN 2197-795X | | issn_series | 1389-2177 | | copyright | Springer-Verlag New York 2008 |
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