Some Euler products associated with cubic metaplectic forms on GL(3)
type: Item
instance of: scholarly article
title: Some Euler products associated with cubic metaplectic forms on GL(3)
zbMATH Open document ID: 0613.10028
DOI: 10.1215/S0012-7094-86-05351-2
author: Daniel Bump
author: Jeff Hoffstein
published in: Duke Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: The authors show how to associate an Euler product to an automorphic form on the three-fold metaplectic cover of \(GL_ 3\). The method yields essentially the L-function of the representation which should correspond under the generalized Shimura correspondence to the original form. A particularly interesting feature of the proof is Proposition 6.1 in which, despite the nonuniqueness of Whittaker models, the authors construct the Euler product using Hecke theory. This is reminiscient of Andrianov's work on the L-functions of representations of symplectic groups and is just as remarkable.
Mathematics Subject Classification ID: 11F27
Mathematics Subject Classification ID: 11F67
zbMATH DE Number: 3991602
zbMATH Keywords: Euler product
zbMATH Keywords: automorphic form
zbMATH Keywords: three-fold metaplectic cover of \(GL_ 3\)
zbMATH Keywords: L-function
zbMATH Keywords: representation
reviewed by: Samuel James Patterson
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3991602