Selberg zeta function on an exceptional domain
type: Item
instance of: scholarly article
title: Selberg zeta function on an exceptional domain
zbMATH Open document ID: 0840.11034
DOI: 10.1007/BF02567459
author: Henry H. Kim
published in: Manuscripta Mathematica
publication date: 1995-01-25T00:00:00Z
full work available at URL: https://eudml.org/doc/155993
review text: The exceptional domain of \(3\times 3\) matrices over Cayley numbers is considered. It is contained in \(\mathbb{C}^{27}\) and an exceptional group of type \(E_7\) acts on it. The author follows \textit{B. Diehl} [J. Reine Angew. Math. 317, 40-73 (1980; Zbl 0425.10031)] to define in this situation some Selberg-Langlands' Eisenstein series, prove their analytic continuation and the functional equation. From this the analytic continuation and functional equation of a Siegel-Eisenstein series can be derived.
reviewed by: Roland Matthes
Mathematics Subject Classification ID: 11M36
Mathematics Subject Classification ID: 11F72
Mathematics Subject Classification ID: 17C40
zbMATH DE Number: 703886
zbMATH Keywords: Selberg-Langlands' Eisenstein series
zbMATH Keywords: analytic continuation
zbMATH Keywords: functional equation
MaRDI profile type: Publication
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cites work: Q3693558
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description: scientific article; zbMATH DE number 703886