Introduction to elliptic curves and modular forms

書誌事項

Introduction to elliptic curves and modular forms

Neal Koblitz

(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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