First Course in Modular Forms

Name: First Course in Modular Forms
Brand: Springer-Verlag New York Inc.
SKU: 9780387232294
Price: 325.83 RON
Availability: InStock

Autor: Fred Diamond, Jerry Shurman

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Legare: Copertă tare

Editura: Springer-Verlag New York Inc.

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325.83 lei

This book introduces the theory of modular forms with an eye toward the Modularity Theorem. All rati...

Informații despre carte

Autor

Fred Diamond, Jerry Shurman

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2016

Pagini

450

EAN

9780387232294

ISBN

038723229X

Enbook ID

01381046

Editura

Springer-Verlag New York Inc.

Greutate

718

Dimensiuni

164 x 243 x 33

Descriere completă

This book introduces the theory of modular forms with an eye toward the Modularity Theorem. All rational elliptic curves arise from modular forms. 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 written for beginning graduate students and advanced undergraduates. It does not require background in algebraic number theory or algebraic geometry, and it contains exercises throughout.

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