Spin \(L\)-functions for \(\text{GSO}_{10}\) and \(\text{GSO}_{12}\)
type: Item
instance of: scholarly article
title: Spin \(L\)-functions for \(\text{GSO}_{10}\) and \(\text{GSO}_{12}\)
zbMATH Open document ID: 1153.22022
published in: Israel Journal of Mathematics
publication date: 2008-09-03T00:00:00Z
review text: In this paper the author considers Rankin-Selberg type integrals on \(\text{GSO}_{2n}\) where \(n=5,6\). These integrals are rather unusual in two respects. First of all they involve a product of two Eisenstein series. Secondly the \(L\)-series represented by these integrals is a product of two rather different \(L\)-series. In the first case one of the factors is connected with two distinct spin representations of dimension 16 of the \(L\)-group; in the second case the situation is a little different. This paper is devoted to the unfolding arguments and to the local calculations. These are quite intricate and require ``combinatorial'' arguments.
reviewed by: Samuel James Patterson
Mathematics Subject Classification ID: 11F70
Mathematics Subject Classification ID: 22E55
zbMATH DE Number: 5320455
zbMATH Keywords: orthogonal groups
zbMATH Keywords: spin representations
zbMATH Keywords: Eisenstein series
zbMATH Keywords: Rankin-Selberg integrals
zbMATH Keywords: unfolding
zbMATH Keywords: Langlands \(L\)-functions
author: Joseph Hundley
MaRDI profile type: Publication
full work available at URL: s11856-008-1006-1
OpenAlex ID: W2072567178
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DOI: 10.1007/S11856-008-1006-1
description: scientific article; zbMATH DE number 5320455