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On central critical values of the degree four L-functions for GSp(4) : The Fundamental Lemma.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2003Copyright date: ©2003Edition: 1st edDescription: 1 online resource (158 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470403805
Subject(s): Genre/Form: Additional physical formats: Print version:: On central critical values of the degree four L-functions for GSp(4)DDC classification:
  • 510 s;512/.7
LOC classification:
  • QA331 -- .F87 2003eb
Online resources:
Contents:
Intro -- 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.
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Intro -- 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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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