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.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Furusawa, Masaaki
Otros Autores: Shalika, Joseph A., 1941-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 2003.
Colección:Memoirs of the American Mathematical Society ; no. 782.
Temas:
Siegel domains.
Modular groups.
Automorphic forms.
Domaines de Siegel.
Groupes modulaires.
Formes automorphes.
Automorphic forms
Modular groups
Siegel domains
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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