Fred Diamond: A First Course in Modular Forms

Cover: 9780387232294 | A First Course in Modular Forms | Fred Diamond (u. a.) | Buch | xvi

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

64,19 €

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:

Beschreibung

This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. The topics covered include: elliptic curves as complex tori and as algebraic curves, modular curves as Riemann surfaces and as algebraic curves, Hecke operators and Atkin-Lehner theory, Hecke eigenforms and their arithmetic properties, the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms, elliptic and modular curves modulo p and the Eichler-Shimura Relation, the Galois representations associated to elliptic curves and to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory. A First Course in Modular Forms is intended for beginning graduate students and advanced undergraduates. It does not require background in algebraic number theory or algebraic geometry, and it contains exercises

Zusammenfassung

Inhaltsverzeichnis

Modular Forms, Elliptic Curves, and Modular Curves.- Modular Curves as Riemann Surfaces.- Dimension Formulas.- Eisenstein Series.- Hecke Operators.- Jacobians and Abelian Varieties.- Modular Curves as Algebraic Curves.- The Eichler-Shimura Relation and L-functions.- Galois Representations.

Erscheinungsjahr:	2005
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Graduate Texts in Mathematics
Inhalt:	xvi 450 S. 57 s/w Illustr. 450 p. 57 illus.
ISBN-13:	9780387232294
ISBN-10:	038723229X
Sprache:	Englisch
Herstellernummer:	10950593
Einband:	Gebunden
Autor:	Diamond, Fred Shurman, Jerry
Hersteller:	Springer Springer US, New York, N.Y. Graduate Texts in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 30 mm
Von/Mit:	Fred Diamond (u. a.)
Erscheinungsdatum:	09.08.2016
Gewicht:	0,955 kg