1.

Record Nr.

UNINA9910480703003321

Autore

Feit Paul <1959->

Titolo

Poles and residues of Eisenstein series for symplectic and unitary groups / / Paul Feit

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1986

©1986

ISBN

1-4704-0762-0

Descrizione fisica

1 online resource (98 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 61, Number 346

Disciplina

515/.243

Soggetti

Eisenstein series

Representations of groups

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"May 1986, Volume 61, Number 346 (end of volume)."

Nota di contenuto

""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""