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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Goldfeld, D. (Author)
Format: Electronic eBook
Language:Inglés
Published: Cambridge, UK ; New York : Cambridge University Press, 2006.
Series:Cambridge studies in advanced mathematics ; 99.
Subjects:
L-functions.
Automorphic forms.
Fonctions L.
Formes automorphes.
MATHEMATICS > Number Theory.
Online Access:Texto completo
Table of Contents:
  • 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.

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