Poles and residues of Eisenstein series for symplectic and unitary groups / [electronic resource] Paul Feit.

By: Feit, Paul, 1959-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 346Publication details: Providence, R.I., USA : American Mathematical Society, 1986Description: 1 online resource (iv, 89 p.)ISBN: 9781470407629 (online)Subject(s): Eisenstein series | Representations of groupsAdditional physical formats: Poles and residues of Eisenstein series for symplectic and unitary groups /DDC classification: 510 s | 515/.243 LOC classification: QA3 | .A57 no. 346 | QA295Online resources: Contents | Contents
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 $\alpha _1$ Part II. The finiteness problem 8. Notation 9. Finiteness theorems 10. The Fourier coefficients 11. The $\Gamma $-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
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"Volume 61, number 346 (end of volume)."

"The paper used in this journal is acid-free"--T.p. verso.

Bibliography: p. 88-89.

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 $\alpha _1$ Part II. The finiteness problem 8. Notation 9. Finiteness theorems 10. The Fourier coefficients 11. The $\Gamma $-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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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