
eBook 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 |

eBook 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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 123; 1996; 196 ppMSC: 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.
ReadershipGraduate students and research mathematicians interested in number theory.
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Table of Contents
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Chapters
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1. Introduction
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2. Degree 16 standard L-function of $GSp(2) \times GSp(2)$
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3. Poles of Eisenstein series of $Sp(n)$
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4. Residue representations of Eisenstein series
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5. Local theory of Rankin-Selberg convolution
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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.
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