Introduction to elliptic curves and modular forms
Author(s)
Bibliographic Information
Introduction to elliptic curves and modular forms
(Graduate texts in mathematics, 97)
Springer, c1993
2nd ed
- : us
- : gw
Available at 97 libraries
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Note
Includes bibliographical references (p. [240]-244) and index
Description and Table of Contents
- Volume
-
: us ISBN 9780387979663
Description
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.
Table of Contents
- 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
- Volume
-
: gw ISBN 9783540979661
Description
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.
by "Nielsen BookData"