TY  - BOOK
AU  - Furusawa,Masaaki
AU  - A.,Shalikam Joseph
TI  - On central critical values of the degree four L-functions for GSp(4): The Fundamental Lemma
T2  - Memoirs of the American Mathematical Society
SN  - 9781470403805
AV  - QA331 -- .F87 2003eb 
U1  - 510 s;512/.7 
PY  - 2003///
CY  - Providence
PB  - American Mathematical Society
KW  - Siegel domains
KW  - Modular groups
KW  - Automorphic forms
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114355
ER  -