Electronic ISBN:  9781470401733 
Product Code:  MEMO/123/588.E 
List Price:  $53.00 
MAA Member Price:  $47.70 
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 123; 1996; 196 ppMSC: Primary 11;
Automorphic Lfunctions, introduced by Robert Langlands in the 1960s, are natural extensions of such classical Lfunctions as the Riemann zeta function, Hecke Lfunctions, 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 RankinSelberg method, a thorough and comprehensive examination of the degree 16 standard Lfunction of the product of two rank two symplectic similitude groups, which includes the study of the global integral of RankinSelberg type and local integrals, analytic properties of certain Eisenstein series of symplectic groups, and the relevant residue representations.ReadershipGraduate students and research mathematicians interested in number theory.

Table of Contents

Chapters

1. Introduction

2. Degree 16 standard Lfunction of $GSp(2) \times GSp(2)$

3. Poles of Eisenstein series of $Sp(n)$

4. Residue representations of Eisenstein series

5. Local theory of RankinSelberg convolution


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Automorphic Lfunctions, introduced by Robert Langlands in the 1960s, are natural extensions of such classical Lfunctions as the Riemann zeta function, Hecke Lfunctions, 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 RankinSelberg method, a thorough and comprehensive examination of the degree 16 standard Lfunction of the product of two rank two symplectic similitude groups, which includes the study of the global integral of RankinSelberg type and local integrals, analytic properties of certain Eisenstein series of symplectic groups, and the relevant residue representations.
Graduate students and research mathematicians interested in number theory.

Chapters

1. Introduction

2. Degree 16 standard Lfunction of $GSp(2) \times GSp(2)$

3. Poles of Eisenstein series of $Sp(n)$

4. Residue representations of Eisenstein series

5. Local theory of RankinSelberg convolution