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Degree 16 Standard L-function of $GSp(2) \times GSp(2)$
 
Dihua Jiang Yale University
Front Cover for Degree 16 Standard L-function of GSp(2) XGSp(2)
Available Formats:
Electronic ISBN: 978-1-4704-0173-3
Product Code: MEMO/123/588.E
List Price: $53.00
MAA Member Price: $47.70
AMS Member Price: $31.80
Front Cover for Degree 16 Standard L-function of GSp(2) XGSp(2)
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  • Front Cover for Degree 16 Standard L-function of GSp(2) XGSp(2)
  • Back Cover for Degree 16 Standard L-function of GSp(2) XGSp(2)
Degree 16 Standard L-function of $GSp(2) \times GSp(2)$
Dihua Jiang Yale University
Available Formats:
Electronic ISBN:  978-1-4704-0173-3
Product Code:  MEMO/123/588.E
List Price: $53.00
MAA Member Price: $47.70
AMS Member Price: $31.80
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1231996; 196 pp
    MSC: Primary 11;

    Automorphic L-functions, introduced by Robert Langlands in the 1960s, are natural extensions of such classical L-functions as the Riemann zeta function, Hecke L-functions, etc. They form an important part of the Langlands Program, which seeks to establish connections among number theory, representation theory, and geometry.

    This book offers, via the Rankin-Selberg method, a thorough and comprehensive examination of the degree 16 standard L-function of the product of two rank two symplectic similitude groups, which includes the study of the global integral of Rankin-Selberg type and local integrals, analytic properties of certain Eisenstein series of symplectic groups, and the relevant residue representations.

    Readership

    Graduate students and research mathematicians interested in number theory.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Degree 16 standard L-function of $GSp(2) \times GSp(2)$
    • 3. Poles of Eisenstein series of $Sp(n)$
    • 4. Residue representations of Eisenstein series
    • 5. Local theory of Rankin-Selberg convolution
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Volume: 1231996; 196 pp
MSC: Primary 11;

Automorphic L-functions, introduced by Robert Langlands in the 1960s, are natural extensions of such classical L-functions as the Riemann zeta function, Hecke L-functions, etc. They form an important part of the Langlands Program, which seeks to establish connections among number theory, representation theory, and geometry.

This book offers, via the Rankin-Selberg method, a thorough and comprehensive examination of the degree 16 standard L-function of the product of two rank two symplectic similitude groups, which includes the study of the global integral of Rankin-Selberg type and local integrals, analytic properties of certain Eisenstein series of symplectic groups, and the relevant residue representations.

Readership

Graduate students and research mathematicians interested in number theory.

  • Chapters
  • 1. Introduction
  • 2. Degree 16 standard L-function of $GSp(2) \times GSp(2)$
  • 3. Poles of Eisenstein series of $Sp(n)$
  • 4. Residue representations of Eisenstein series
  • 5. Local theory of Rankin-Selberg convolution
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