Introduction to Elliptic Curves and Modular Forms

2. Auflage 1993
ISBN: 978-0-387-97966-3
Verlag: Springer

Buch, Englisch, 252 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1220 g

Reihe: Graduate Texts in Mathematics

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Koblitz, Neal I.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

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.