Items related to Modular Forms
Synopsis
For the most part, this book is the translation from Japanese of the earlier book written jointly by Koji Doi and the author who 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, written for the English edition, 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.
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Language Notes
Text: English (translation)
Original Language: Japanese
Review
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)
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- PublisherSpringer
- Publication date1989
- ISBN 10 3540502688
- ISBN 13 9783540502685
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages335
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Modular Forms
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Springer-Verlag, Berlin, 1989
ISBN 10: 3540502688
ISBN 13: 9783540502685
Used
Hardcover
First Edition
Seller: Curious Book Shop, East Lansing, MI, U.S.A.
Seller rating 4 out of 5 stars
Hardcover. Condition: Very Good endpaper. Dust Jacket Condition: No Dust Jacket. 1st. Spine fading. Previous owner's name front; 8vo; 335 pages. Seller Inventory # 25718
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Modular Forms
Seller: Ammareal, Morangis, France
Seller rating 5 out of 5 stars
No jacket. Condition: Très bon. Ancien livre de bibliothèque. Sans jaquette. Edition 1989. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Very good. Former library book. No dust jacket. Edition 1989. Ammareal gives back up to 15% of this item's net price to charity organizations. Seller Inventory # F-344-755
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Modular forms. [Transl. Yoshitaka Maeda]
ISBN 10: 3540502688
ISBN 13: 9783540502685
Used
Hardcover
Seller: Die Wortfreunde - Antiquariat Wirthwein Matthias Wirthwein, Mannheim, Germany
Seller rating 5 out of 5 stars
Kunststoff, gebundene Ausgabe. VIII, 335 S. : 11 graph. Darst. ; 25 cm 1989. Neuwertiges Exemplar. Sprache: Englisch. Seller Inventory # 39888
Quantity: 1 available