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Developments in Mathematics

Surveys in Number Theory

Editors: Alladi, Krishnaswami (Ed.)

  • Surveys on major developments in modern number theory
  • Self-contained chapters presented by distinguished mathematicians in the field
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eBook 95,19 €
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  • ISBN 978-0-387-78510-3
  • Digitally watermarked, DRM-free
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Hardcover 119,59 €
price for Spain (gross)
  • ISBN 978-0-387-78509-7
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  • Usually dispatched within 3 to 5 business days.
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Softcover 119,59 €
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  • ISBN 978-1-4419-2689-0
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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.

Table of contents (7 chapters)

  • Inverse Problems for Representation Functions in Additive Number Theory

    Nathanson, Melvyn B.

    Pages 1-29

    Preview Buy Chapter 30,19 €
  • Exploiting Symmetries Alternating Sign Matrices and the Weyl Character Formulas

    Bressoud, David M.

    Pages 1-13

    Preview Buy Chapter 30,19 €
  • Theta Functions in Complex Analysis and Number Theory

    Farkas, Hershel M.

    Pages 1-31

    Preview Buy Chapter 30,19 €
  • Elliptic Functions and Transcendence

    Waldschmidt, Michel

    Pages 1-46

    Preview Buy Chapter 30,19 €
  • Mock Theta Functions Ranks and Maass Forms

    Ono, Ken

    Pages 1-23

    Preview Buy Chapter 30,19 €

Buy this book

eBook 95,19 €
price for Spain (gross)
  • ISBN 978-0-387-78510-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 119,59 €
price for Spain (gross)
  • ISBN 978-0-387-78509-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 119,59 €
price for Spain (gross)
  • ISBN 978-1-4419-2689-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Surveys in Number Theory
Editors
  • 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