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Degree 16 Standard L-Function of GSp(2) X GSp(2).

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1996Copyright date: ©1996Edition: 1st edDescription: 1 online resource (210 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470401733
Subject(s): Genre/Form: Additional physical formats: Print version:: Degree 16 Standard L-Function of GSp(2) X GSp(2)DDC classification:
  • 515/.98
LOC classification:
  • QA353.A9 -- .J536 1996eb
Online resources:
Contents:
Intro -- 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 ≤ 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.
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Intro -- 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 ≤ 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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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