Hecke Operators and Systems of Eigenvalues on Siegel Cusp Forms
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| Main Author: | |
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| Format: | eBook Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
2021
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| Edition: | 1 |
| Series: | Memoirs of the American Mathematical Society |
| Subjects: | |
| ISBN: | 1470443341, 9781470443344 |
| ISSN: | 0065-9266, 1947-6221 |
| Online Access: | Get full text |
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Table of Contents:
- Introduction -- Action of Double Cosets -- Satake’s Isomorphisms and Hecke Operators -- Estimates for All the Eigenvalues of Hecke Operators on Siegel Cusp Forms -- The Generalized Ramanujan Conjecture in Siegel Modular Case -- <inline-formula content-type="math/mathml"> p p </inline-formula>-Parameters of Siegel Cusp Eigenforms -- Some Applications -- Langlands’ L-Parameters -- Appendix -- Index of Theorems, Propositions, Diagrams, Lemmas and Corollaries -- Index of Notations
- Cover -- Title page -- Chapter 1. Introduction -- Notations -- Chapter 2. Action of Double Cosets -- Chapter 3. Satake's Isomorphisms and Hecke Operators -- Chapter 4. Estimates for All the Eigenvalues of Hecke Operators on Siegel Cusp Forms -- Chapter 5. The Generalized Ramanujan Conjecture in Siegel Modular Case -- Chapter 6. -Parameters of Siegel Cusp Eigenforms -- Chapter 7. Some Applications -- 7.1. Siegel cusp eigenforms treated in Theorems 9, 10 and 11 -- 7.2. On absolute values of -parameters of arbitrary Siegel cusp eigenforms of degrees ≥1 and weights≥ +1 -- 7.3. Arbitrary Siegel cusp eigenforms of degree 2 and weights≥3 -- Chapter 8. Langlands' L-Parameters -- Acknowledgments -- Appendix -- References -- Index of Theorems, Propositions, Diagrams, Lemmas and Corollaries -- Index of Notations -- Back Cover