Developments in Mathematics

Number Theory

Tradition and Modernization

Editors: Zhang, Wenpeng, Tanigawa, Yoshio (Eds.)

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eBook 130,89 €
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  • ISBN 978-0-387-30829-6
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Hardcover 166,39 €
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  • ISBN 978-0-387-30414-4
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  • Usually dispatched within 3 to 5 business days.
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Softcover 187,19 €
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  • ISBN 978-1-4419-4025-4
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About this book

Number Theory: Tradition and Modernization is a collection of survey and research papers on various topics in number theory. Though the topics and descriptive details appear varied, they are unified by two underlying principles: first, making everything readable as a book, and second, making a smooth transition from traditional approaches to modern ones by providing a rich array of examples.

The chapters are presented in quite different in depth and cover a variety of descriptive details, but the underlying editorial principle enables the reader to have a unified glimpse of the developments of number theory. Thus, on the one hand, the traditional approach is presented in great detail, and on the other, the modernization of the methods in number theory is elaborated. The book emphasizes a few common features such as functional equations for various zeta-functions, modular forms, congruence conditions, exponential sums, and algorithmic aspects.

 

Audience

This book is intended for researchers and graduate students in analytic number theory.

Table of contents (16 chapters)

  • Positive Finiteness of Number Systems

    Akiyama, Shigeki

    Pages 1-10

  • On a Distribution Property of the Residual Order of a (mod p)— IV

    Chinen, Koji (et al.)

    Pages 11-22

  • Diagonalizing “Bad” Hecke Operators on Spaces of Cusp Forms

    Choie, YoungJu (et al.)

    Pages 23-26

  • On the Hilbert-Kamke and the Vinogradov Problems in Additive Number Theory

    Chubarikov, Vladimir N.

    Pages 27-37

    Preview Buy Chapter 30,19 €
  • The Goldbach-Vinogradov Theorem in Arithmetic Progressions

    Cui, Zhen

    Pages 39-65

Buy this book

eBook 130,89 €
price for Spain (gross)
  • ISBN 978-0-387-30829-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 166,39 €
price for Spain (gross)
  • ISBN 978-0-387-30414-4
  • 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 187,19 €
price for Spain (gross)
  • ISBN 978-1-4419-4025-4
  • 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
Number Theory
Book Subtitle
Tradition and Modernization
Editors
  • Wenpeng Zhang
  • Yoshio Tanigawa
Series Title
Developments in Mathematics
Series Volume
15
Copyright
2006
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-30829-6
DOI
10.1007/0-387-30829-6
Hardcover ISBN
978-0-387-30414-4
Softcover ISBN
978-1-4419-4025-4
Series ISSN
1389-2177
Edition Number
1
Number of Pages
XXII, 234
Topics