Degree 16 standard L-function of GSp(2) x GSp(2) / Dihua Jiang.

Format:

Book

Author/Creator:

Jiang, Dihua, author.

Series:

Memoirs of the American Mathematical Society ; Volume 123, Number 588.

Memoirs of the American Mathematical Society, 0065-9266 ; Volume 123, Number 588

Language:

English

Subjects (All):

Automorphic functions.

L-functions.

Physical Description:

1 online resource (210 p.)

Edition:

1st ed.

Other Title:

Degree sixteen standard L-function of GSp(2) x GSp(2)

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 1996.

Language Note:

English

Summary:

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.

Contents:

""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Degree 16 Standard L-function of GS[sub(p)](2) x GS[sub(p)](2)""; ""1. Preliminaries""; ""2. Global Integral of Rankin-Selberg Type""; ""3. Unramified Local Zeta Integrals""; ""4. Local Langlands Factor of Degree 16 for GS[sub(p)](2) x GS[sub(p)](2)""; ""5. The Fundamental Identity""; ""Chapter 3. Poles of Eisenstein Series of S[sub(p)](n)""; ""1. The P[sup(n)][sub(1)]-constant Term of Eisenstein Series""; ""2. Local Analyses of Intertwining Operators""; ""3. Poles of Eisenstein Series: n â?? 3""; ""4. Poles of Eisenstein Series""

""5. Proof of Two Lemmas""""Chapter 4. Residue Representations of Eisenstein Series""; ""1. Eisenstein Series of S[sub(p)](4)""; ""2. Intertwining Operators and Quasi-invariant Distributions""; ""3. Residues of Eisenstein Series E[sup(4)][sub(3)](g,s; f[sub(s)])""; ""4. Analytic Properties of the Global Integral""; ""Chapter 5. Local Theory of Rankin-Selberg Convolution""; ""1. Some Estimates""; ""2. Nonvanishing of Local Zeta Integrals""; ""3. Absolutely Convergence of Local Zeta Integrals""; ""4. Meromorphic Continuation of Local Zeta Integrals""; ""Bibliography""; ""Index""; ""A""; ""B""

""C""""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""X""; ""Y""; ""Z""

Notes:

"September 1996, Volume 123, Number 588 (third of 4 numbers)."

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-4704-0173-8