Neal I. Koblitz

Introduction to Elliptic Curves and Modular Forms (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer US
• Seitenzahl: 252
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461209096
• Artikelnr.: 43987084

Autorenporträt

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. 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.

Inhaltsangabe

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.