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Degree 16 Standard L-function of \(GSp(2) \times GSp(2)\)
Dihua Jiang, Yale University, New Haven, CT
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Memoirs of the American Mathematical Society
1996; 196 pp; softcover
Volume: 123
ISBN-10: 0-8218-0476-6
ISBN-13: 978-0-8218-0476-6
List Price: US$50
Individual Members: US$30
Institutional Members: US$40
Order Code: MEMO/123/588
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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

  • Introduction
  • Degree 16 standard L-function of \(GSp(2)\times GSp(2)\)
  • Poles of Eisenstein series of \(Sp(n)\)
  • Residue representations of Eisenstein series
  • Local theory of Rankin-Selberg convolution
  • Bibliography
  • Index
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