Introduction to Elliptic Curves and Modular Forms
Publisher: Springer New York
Published: 2012
Language: eng
Number of pages: 252
ISBN-13: 9781461269427
Subjects: Number theory; Forms (mathematics); Curves, algebraic
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.