Springer Monographs in Mathematics

Modular Forms

Authors: Miyake, Toshitsune

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  • ISBN 978-3-540-29593-8
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  • Due: December 21, 2006
  • ISBN 978-3-662-22188-4
  • Free shipping for individuals worldwide
About this book

For the most part, this book is the translation from Japanese of the earlier book written jointly by Koji Doi and the author who has revised it substantially for the English edition. It sets out to provide the reader with the basic knowledge of elliptic modular forms necessary to understand the recent developments in number theory. The first part gives the general theory of modular groups, modular forms and Hecke operators, with emphasis on the Hecke-Weil theory of the relation between modular forms and Dirichlet series. The second part is on the unit groups of quaternion algebras, which are seldom dealt with in books. The so-called Eichler-Selberg trace formula of Hecke operators follows next and the explicit computable formula is given. In the last chapter, Eisenstein series with parameter are discussed following the recent work of Shimura: Eisenstein series are likely to play a very important role in the future progress of number theory, and this chapter provides a good introduction to the topic.

Reviews

From the reviews of the first edition:

"Toshitune Miyake’s book is a useful introductory book on the subject of modular forms. … Some key features of Miyake’s book are that it is accessible, well written, and well organized. … As a result, Miyake’s book is both an excellent first text from which to learn the subject and a very good reference. I have found myself returning to the book repeatedly for tidbits that are hard to find in the literature. … Miyake’s book is an excellent introduction to … modular forms." (Eknath Ghate, SIAM Review, Vol. 48 (3), 2006)


Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-540-29593-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-540-29592-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week).
  • Due: December 21, 2006
  • ISBN 978-3-662-22188-4
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Modular Forms
Authors
Translated by
Maeda, Y.
Series Title
Springer Monographs in Mathematics
Copyright
1989
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-29593-8
DOI
10.1007/3-540-29593-3
Hardcover ISBN
978-3-540-29592-1
Softcover ISBN
978-3-662-22188-4
Series ISSN
1439-7382
Edition Number
1
Number of Pages
X, 338
Additional Information
Originally published as a monograph. Original Japanese edition published by Kinokuniya, Tokyo, 1976
Topics