On central critical values of the degree four L-functions for GSp(4) : The Fundamental Lemma.
- 1st ed.
- 1 online resource (158 pages)
- Memoirs of the American Mathematical Society ; v.164 .
- Memoirs of the American Mathematical Society .
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.