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Poles and Residues of Eisenstein Series for Symplectic and Unitary Groups.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1986Copyright date: ©1986Edition: 1st edDescription: 1 online resource (98 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470407629
Subject(s): Genre/Form: Additional physical formats: Print version:: Poles and Residues of Eisenstein Series for Symplectic and Unitary GroupsDDC classification:
  • 515/.243
LOC classification:
  • QA295 -- .F458 1986eb
Online resources:
Contents:
Intro -- Table of Contents -- Introduction -- 0. Notation -- 1. Definition of the Eisenstein Series -- Part I: Formal Dirichlet Series -- 2. Preliminaries on Semi-Simple Algebras -- 3. Local Unitary Groups -- 4. A Theorem on Dirichlet Series -- 5. Representations of One Form by Another -- 6. Explicit Computations: SP and SU Cases -- 7. A Special Argument for α[sub(1)] -- Part II: The Finiteness Problem -- 8. Notation -- 9. Finiteness Theorems -- 10. The Fourier Coefficients -- 11. The r-Factor Calculation -- 12. Three Remarks -- 13. The Proof of Theorem 9.1 -- Part III: Analyticity -- 14. Positive Fourier Expansions -- Part IV: Algebraic Properties -- 15. A Rationality Criterion -- 16. The Transfer Map -- 17. Stong Approximation -- 18. Proofs of Theorems 15.1 and 15.2 -- References.
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Intro -- Table of Contents -- Introduction -- 0. Notation -- 1. Definition of the Eisenstein Series -- Part I: Formal Dirichlet Series -- 2. Preliminaries on Semi-Simple Algebras -- 3. Local Unitary Groups -- 4. A Theorem on Dirichlet Series -- 5. Representations of One Form by Another -- 6. Explicit Computations: SP and SU Cases -- 7. A Special Argument for α[sub(1)] -- Part II: The Finiteness Problem -- 8. Notation -- 9. Finiteness Theorems -- 10. The Fourier Coefficients -- 11. The r-Factor Calculation -- 12. Three Remarks -- 13. The Proof of Theorem 9.1 -- Part III: Analyticity -- 14. Positive Fourier Expansions -- Part IV: Algebraic Properties -- 15. A Rationality Criterion -- 16. The Transfer Map -- 17. Stong Approximation -- 18. Proofs of Theorems 15.1 and 15.2 -- References.

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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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