Introduction to Elliptic Curves and Modular Forms
(Sprache: Englisch)
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...
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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.
Klappentext zu „Introduction to Elliptic Curves and Modular Forms “
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.
Inhaltsverzeichnis zu „Introduction to Elliptic Curves and Modular Forms “
- 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
Bibliographische Angaben
- Autor: Neal Koblitz
- 1993, 2. Aufl., 252 Seiten, Masse: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387979662
- ISBN-13: 9780387979663
- Erscheinungsdatum: 29.04.1993
Sprache:
Englisch
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