Number Theory
Tradition and Modernization
Editors: Zhang, Wenpeng, Tanigawa, Yoshio (Eds.)
Free PreviewBuy this book
- 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
Pages 1-10
-
On a Distribution Property of the Residual Order of a (mod p)— IV
Pages 11-22
-
Diagonalizing “Bad” Hecke Operators on Spaces of Cusp Forms
Pages 23-26
-
On the Hilbert-Kamke and the Vinogradov Problems in Additive Number Theory
Pages 27-37
-
The Goldbach-Vinogradov Theorem in Arithmetic Progressions
Pages 39-65
-
Table of contents (16 chapters)
Recommended for you
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
