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On certain Rankin-Selberg Integrals on GE6

Published online by Cambridge University Press:  11 January 2016

David Ginzburg  and
Joseph Hundley
David Ginzburg
Affiliation:
School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel-Aviv University, Israel, [email protected]
Joseph Hundley
Affiliation:
Mathematics Department, Mailcode 4408, Southern Illinois University Carbondale, 1245 Lincoln Drive, Carbondale, IL 62901, U.S.A., [email protected]
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Abstract

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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 × GL2,s) and in the other case the degree 30 Euler product LS(π × τ, ∧2 × GL2,s).

Keywords

11F6611F70
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 191 , 2008 , pp. 21 - 78
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2008

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