On certain Rankin-selberg integrals on GE6

David Ginzburg; Joseph Hundley

doi:10.1017/S0027763000025903

On certain Rankin-selberg integrals on GE₆

David Ginzburg
, Joseph Hundley

Mathematics

Tel Aviv University

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

1 Scopus citations

Abstract

In this paper we begin the study of two Rankin-Selberg integrals defined on the exceptional group of type GE₆. We show that each factorizes and that the contribution from the unramified places is, in one case, the degree 54 Euler product L^S(π × τ, E₆ × GL ₂, s) and in the other case the degree 30 Euler product L ^S(π × τ, ∧² × GL₂, s).

Original language	English
Pages (from-to)	21-78
Number of pages	58
Journal	Nagoya Mathematical Journal
Volume	191
DOIs	https://doi.org/10.1017/S0027763000025903
State	Published - 2008

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title = "On certain Rankin-selberg integrals on GE6",

abstract = "In this paper we begin the study of two Rankin-Selberg integrals defined on the exceptional group of type GE6. We show that each factorizes and that the contribution from the unramified places is, in one case, the degree 54 Euler product LS(π × τ, E6 × GL 2, s) and in the other case the degree 30 Euler product L S(π × τ, ∧2 × GL2, s).",

author = "David Ginzburg and Joseph Hundley",

year = "2008",

doi = "10.1017/S0027763000025903",

language = "English",

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AU - Ginzburg, David

AU - Hundley, Joseph

PY - 2008

Y1 - 2008

N2 - In this paper we begin the study of two Rankin-Selberg integrals defined on the exceptional group of type GE6. We show that each factorizes and that the contribution from the unramified places is, in one case, the degree 54 Euler product LS(π × τ, E6 × GL 2, s) and in the other case the degree 30 Euler product L S(π × τ, ∧2 × GL2, s).

AB - In this paper we begin the study of two Rankin-Selberg integrals defined on the exceptional group of type GE6. We show that each factorizes and that the contribution from the unramified places is, in one case, the degree 54 Euler product LS(π × τ, E6 × GL 2, s) and in the other case the degree 30 Euler product L S(π × τ, ∧2 × GL2, s).

UR - https://www.scopus.com/pages/publications/52649130832

U2 - 10.1017/S0027763000025903

DO - 10.1017/S0027763000025903

M3 - Article

AN - SCOPUS:52649130832

SN - 0027-7630

VL - 191

SP - 21

EP - 78

JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

ER -

On certain Rankin-selberg integrals on GE₆

Abstract

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