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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: $31.80 Click above image for expanded view Degree 16 Standard L-function of$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.

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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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.

• 2. Degree 16 standard L-function of $GSp(2) \times GSp(2)$
• 3. Poles of Eisenstein series of $Sp(n)$