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, c1993
2nd ed
- : us
- : gw
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注記
Includes bibliographical references (p. [240]-244) and index
内容説明・目次
- 巻冊次
-
: us ISBN 9780387979663
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
- 巻冊次
-
: gw ISBN 9783540979661
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. The second edition of this text includes an updated bibliography indicating the latest, dramatic changes in the direction of proving the Birch and Swinnerton conjecture. It also discusses the current state of knowledge of elliptic curves.
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