- Surveys on major developments in modern number theory
- Self-contained chapters presented by distinguished mathematicians in the field
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- About this book
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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.
- Table of contents (7 chapters)
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A Survey of Multipartitions Congruences and Identities
Pages 1-19
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Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook
Pages 1-22
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Exploiting Symmetries Alternating Sign Matrices and the Weyl Character Formulas
Pages 1-13
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Theta Functions in Complex Analysis and Number Theory
Pages 1-31
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Inverse Problems for Representation Functions in Additive Number Theory
Pages 1-29
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Table of contents (7 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Surveys in Number Theory
- Editors
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- Krishnaswami Alladi
- Series Title
- Developments in Mathematics
- Series Volume
- 17
- Copyright
- 2008
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer-Verlag New York
- eBook ISBN
- 978-0-387-78510-3
- DOI
- 10.1007/978-0-387-78510-3
- Hardcover ISBN
- 978-0-387-78509-7
- Softcover ISBN
- 978-1-4419-2689-0
- Series ISSN
- 1389-2177
- Edition Number
- 1
- Number of Pages
- X, 188
- Topics
