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

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 346Publication details: Providence, R.I., USA : American Mathematical Society, 1986.Description: 1 online resource (iv, 89 p.)ISBN:
  • 9781470407629 (online)
Subject(s): Additional physical formats: Poles and residues of Eisenstein series for symplectic and unitary groups /DDC classification:
  • 510 s 515/.243 19
LOC classification:
  • QA3 .A57 no. 346 QA295
Online resources:
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
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK12799

"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

Mode of access : World Wide Web

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