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

Author: Masaaki Furusawa; Joseph A Shalika
Publisher: Providence, R.I. : American Mathematical Society, 2003.
Series: Memoirs of the American Mathematical Society, no. 782.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Furusawa, Masaaki.
On central critical values of the degree four L-functions for GSp(4) :
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Masaaki Furusawa; Joseph A Shalika
ISBN: 9781470403805 1470403803
OCLC Number: 851086253
Notes: "Volume 164, number 782 (fourth of 5 numbers)."
Description: 1 online resource (x, 139 pages).
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 Integral""""4.1. 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""
Series Title: Memoirs of the American Mathematical Society, no. 782.
Responsibility: Masaaki Furusawa, Joseph A. Shalika.

Abstract:

Proves two equalities of local Kloosterman integrals on $\mathrm{GSp}\left(4\right)$, the group of $4$ by $4$ symplectic similitude matrices. This book conjectures that both of Jacquet's relative  Read more...

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