Hecke's theory of modular forms and Dirichlet series /

In 1938, at the Institute for Advanced Study, E Hecke gave a series of lectures on his theory of correspondence between modular forms and Dirichlet series. Since then, the Hecke correspondence has remained an active feature of number theory and, indeed, it is more important today than it was in 1936...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Berndt, Bruce C., 1939-
Otros Autores: Hecke, Erich, 1887-1947, Knopp, Marvin Isadore, 1933-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hacensack, NJ : World Scientific, 2008.
Colección:Monographs in number theory.
Temas:
Dirichlet series.
Forms (Mathematics)
Modular functions.
Hecke operators.
Séries de Dirichlet.
Formes (Mathématiques)
Fonctions modulaires.
Opérateurs de Hecke.
MATHEMATICS > Infinity.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction
  • 2. The main correspondence theorem
  • 3. A fundamental region
  • 4. The case [symbol]> 2
  • 5. The case [symbol] <2
  • 6. The case [symbol] = 2
  • 7. Bochner's generalization of the main correspondence theorem of Hecke, and related results
  • 8. Identities equivalent to the functional equation and to the modular relation.

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