On central critical values of the degree four L-functions for GSp(4) : the fundamental lemma /

Statement of results Gauss sum, Kloosterman sum and Salie sum Matrix argument Kloosterman sums Evaluation of the Novodvorsky orbital integral Evaluation of the Bessel orbital integral Evaluation of the quadratic orbital integral Bibliography.

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Furusawa, Masaaki
Other Authors: Shalika, Joseph A., 1941-
Format: Electronic eBook
Language:Inglés
Published: Providence, R.I. : American Mathematical Society, 2003.
Series:Memoirs of the American Mathematical Society ; no. 782.
Subjects:
Siegel domains.
Modular groups.
Automorphic forms.
Domaines de Siegel.
Groupes modulaires.
Formes automorphes.
Automorphic forms
Modular groups
Siegel domains
Online Access:Texto completo
Table of Contents:
  • Contents
  • Abstract
  • Introduction
  • Chapter 1. Statement of Results
  • 1.1. The Global Relative Trace Formulas
  • 1.2. Notation
  • 1.3. Main Results
  • Chapter 2. Gauss Sum, Kloosterman Sum and Salié Sum
  • 2.1. Gauss sum
  • 2.2. Kloosterman sum and Salié sum
  • 2.3. The Davenport-Hasse relation
  • Chapter 3. Matrix Argument Kloosterman Sums
  • 3.1. Kloosterman sum over n by n symmetric matrices
  • 3.2. Evaluation of the split Kloosterman sum
  • 3.3. Evaluation of the anisotropic Kloosterman sum
  • 3.4. Evaluation of the quadratic Kloosterman sum
  • Chapter 4. Evaluation of the Novodvorsky Orbital Integral4.1. Double coset decomposition
  • 4.2. Relevant double cosets
  • 4.3. Evaluation of the Novodvorsky orbital integral
  • Chapter 5. Evaluation of the Bessel Orbital Integral
  • 5.1. Relevant double cosets
  • 5.2. Evaluation of the Bessel orbital integral
  • Chapter 6. Evaluation of the Quadratic Orbital Integral
  • 6.1. Double coset decomposition
  • 6.2. Relevant double cosets
  • 6.3. Evaluation of the quadratic orbital integral
  • Bibliography

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