Introduction to Elliptic Curves and Modular Forms (Graduate Texts in Mathematics)

Neal Koblitz, Neal I.Koblitz

ISBN 10: 1461269423 / ISBN 13: 9781461269427

Editore: Springer 1993-04-29, 1993

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Codice articolo 6666-IUK-9781461269427

Dati bibliografici

• Titolo: Introduction to Elliptic Curves and Modular Forms (Graduate Texts in Mathematics)
• Editore: Springer 1993-04-29
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 1461269423
• ISBN 13: 9781461269427
• Rilegatura: Paperback
• Edizione: seconda edizione
• Condizione: New

Descrizione articolo

Riassunto

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.

Contenuti

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