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.
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