Automorphic forms and L-functions for the group GL(n, R) /

L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with basic knowledge of...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Goldfeld, D. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2006.
Colección:Cambridge studies in advanced mathematics ; 99.
Temas:
L-functions.
Automorphic forms.
Fonctions L.
Formes automorphes.
MATHEMATICS > Number Theory.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Discrete group actions
  • Invariant differential operators
  • Automorphic forms and L-functions for SL (2, Z)
  • Existence for Maass forms
  • Maass forms and Whittaker functions for SL (n, Z)
  • Automorphic forms and L-functions for SL (3, Z)
  • The Gelbart-Jacket lift
  • Bounds for L-functions and Siegel zeros
  • The Godement-Jacket L-function
  • Langlands Eisenstein series
  • Poincaré series and Kloosterman sums
  • Rankin-Selberg convolutions
  • Langlands conjectures.

Ejemplares similares