| Description |
1 online resource (x, 139 pages) |
| Series |
Memoirs of the American Mathematical Society, 1947-6221 ; v. 782 |
|
Memoirs of the American Mathematical Society ; no. 782. 0065-9266
|
| 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 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 |
| 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 |
| Notes |
"Volume 164, number 782 (fourth of 5 numbers)." |
| Bibliography |
Includes bibliographical references (pages 138-139) |
| Notes |
English |
|
Print version record |
| Subject |
Siegel domains.
|
|
Modular groups.
|
|
Automorphic forms.
|
|
Automorphic forms
|
|
Modular groups
|
|
Siegel domains
|
| Form |
Electronic book
|
| Author |
Shalika, Joseph A., 1941-
|
| ISBN |
9781470403805 |
|
1470403803 |
|
