**Memoirs of the American Mathematical Society**

1996;
196 pp;
Softcover

MSC: Primary 11;

Print ISBN: 978-0-8218-0476-6

Product Code: MEMO/123/588

List Price: $53.00

AMS Member Price: $31.80

MAA Member Price: $47.70

**Electronic ISBN: 978-1-4704-0173-3
Product Code: MEMO/123/588.E**

List Price: $53.00

AMS Member Price: $31.80

MAA Member Price: $47.70

# Degree 16 Standard L-function of \(GSp(2) ×GSp(2)\)

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*Dihua Jiang*

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

# Table of Contents

## Degree 16 Standard L-function of $GSp(2) xGSp(2)$

- Contents vii8 free
- Chapter 1. Introduction 110 free
- Chapter 2. Degree 16 Standard L-function of GS[sub(p)](2) x GS[sub(p)](2) 1726 free
- Chapter 3. Poles of Eisenstein Series of S[sub(p)](n) 7180
- Chapter 4. Residue Representations of Eisenstein Series 121130
- Chapter 5. Local Theory of Rankin-Selberg Convolution 153162
- Bibliography 187196
- Index 194203