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Introduction to Elliptic Curves and Modular Forms

Author: Neal Koblitz
Publisher: New York, NY : Springer New York, 1993.
Series: Graduate texts in mathematics, 97.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Neal Koblitz
ISBN: 9781461209096 1461209099
OCLC Number: 853270736
Description: 1 online resource (x, 252 pages).
Contents: 1 From Congruent Numbers to Elliptic Curves --
II The Hasse --
Weil L-Function of an Elliptic Curve --
III Modular forms --
IV Modular Forms of Half Integer Weight --
Answers, Hints, and References for Selected Exercises.
Series Title: Graduate texts in mathematics, 97.
Responsibility: by Neal Koblitz.
More information:

Abstract:

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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