Introduction to elliptic curves and modular forms
著者
書誌事項
Introduction to elliptic curves and modular forms
(Graduate texts in mathematics, 97)
Springer, 1993
2nd ed
- : pbk.
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注記
Includes bibliographical references (p. [240]-244) and index
内容説明・目次
内容説明
The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory. This book starts out with a problem from elementary number theory and proceeds to lead its reader into the modern theory, covering such topics as the Hasse-Weil L-function and the conjecture of Birch and Swinnerton-Dyer. This new edition details the current state of knowledge of elliptic curves.
目次
- Preface to First Edition
- Preface to Second Edition
- Chapter I: From Congruent Numbers to Elliptic Curves
- Chapter II: The Hasse-Weil L-Function of an Elliptic Curve
- Chapter III: Modular Forms
- Chapter IV Modular Forms of Half Integer Weight
- Answers, Hints, and Exercises for Selected Exercises
- Bibliography
- Index
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