The adjoint L-function for GL 5

David Ginzburg; Joseph Hundley

The adjoint L-function for GL ₅

David Ginzburg
, Joseph Hundley

Mathematics

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We describe two new Eulerian Rankin-Selberg integrals, using the same Eisenstein series defined on the group E ₈, and cuspidal representations from GL ₅ and GSpin ₁₁, respectively. Connections with past work of Ginzburg, Bump-Ginzburg, Jiang-Rallis and others are described. We give some details of how to relate our two integrals via formal manipulations.

Original language	English
Pages (from-to)	24-32
Number of pages	9
Journal	Electronic Research Announcements in Mathematical Sciences
Volume	15
State	Published - 2008

Keywords

Adjoint L-function
Rankin-Selberg method

Cite this

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title = "The adjoint L-function for GL 5 ",

abstract = "We describe two new Eulerian Rankin-Selberg integrals, using the same Eisenstein series defined on the group E 8, and cuspidal representations from GL 5 and GSpin 11, respectively. Connections with past work of Ginzburg, Bump-Ginzburg, Jiang-Rallis and others are described. We give some details of how to relate our two integrals via formal manipulations.",

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author = "David Ginzburg and Joseph Hundley",

year = "2008",

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journal = "Electronic Research Announcements in Mathematical Sciences",

issn = "1935-9179",

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T1 - The adjoint L-function for GL 5

AU - Ginzburg, David

AU - Hundley, Joseph

PY - 2008

Y1 - 2008

N2 - We describe two new Eulerian Rankin-Selberg integrals, using the same Eisenstein series defined on the group E 8, and cuspidal representations from GL 5 and GSpin 11, respectively. Connections with past work of Ginzburg, Bump-Ginzburg, Jiang-Rallis and others are described. We give some details of how to relate our two integrals via formal manipulations.

AB - We describe two new Eulerian Rankin-Selberg integrals, using the same Eisenstein series defined on the group E 8, and cuspidal representations from GL 5 and GSpin 11, respectively. Connections with past work of Ginzburg, Bump-Ginzburg, Jiang-Rallis and others are described. We give some details of how to relate our two integrals via formal manipulations.

KW - Adjoint L-function

KW - Rankin-Selberg method

UR - https://www.scopus.com/pages/publications/64649106331

M3 - Article

AN - SCOPUS:64649106331

SN - 1935-9179

VL - 15

SP - 24

EP - 32

JO - Electronic Research Announcements in Mathematical Sciences

JF - Electronic Research Announcements in Mathematical Sciences

ER -

The adjoint L-function for GL ₅

Abstract

Keywords

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