Overview
- Surveys on major developments in modern number theory
- Self-contained chapters presented by distinguished mathematicians in the field
Part of the book series: Developments in Mathematics (DEVM)
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Table of contents (7 chapters)
Keywords
About this book
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.
Bibliographic Information
Book Title: Surveys in Number Theory
Editors: Krishnaswami Alladi
Series Title: Developments in Mathematics
DOI: https://doi.org/10.1007/978-0-387-78510-3
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2008
Hardcover ISBN: 978-0-387-78509-7Published: 31 July 2008
Softcover ISBN: 978-1-4419-2689-0Published: 06 December 2010
eBook ISBN: 978-0-387-78510-3Published: 02 March 2009
Series ISSN: 1389-2177
Series E-ISSN: 2197-795X
Edition Number: 1
Number of Pages: X, 188
Topics: Number Theory, Special Functions, Functions of a Complex Variable