A First Course in Modular Forms

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, • Hec...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Diamond, Fred (Autor), Shurman, Jerry (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Colección:Graduate Texts in Mathematics, 228
Temas:
Number theory.
Algebraic geometry.
Number Theory.
Algebraic Geometry.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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. .

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