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Poles and Residues of Eisenstein Series for Symplectic and Unitary Groups
 
Paul Feit
Poles and Residues of Eisenstein Series for Symplectic and Unitary Groups
eBook ISBN:  978-1-4704-0762-9
Product Code:  MEMO/61/346.E
List Price: $23.00
MAA Member Price: $20.70
AMS Member Price: $13.80
Add to cart
Poles and Residues of Eisenstein Series for Symplectic and Unitary Groups
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Poles and Residues of Eisenstein Series for Symplectic and Unitary Groups
Paul Feit
eBook ISBN:  978-1-4704-0762-9
Product Code:  MEMO/61/346.E
List Price: $23.00
MAA Member Price: $20.70
AMS Member Price: $13.80
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 61; 1986; 89 pp
    MSC: Primary 11
  • Table of Contents
     
     
    • Chapters
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Memoirs of the American Mathematical Society
Volume: 61; 1986; 89 pp
MSC: Primary 11
  • Chapters
  • 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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