Gamma factors for generalized Selberg zeta functions
type: Item
instance of: scholarly article
title: Gamma factors for generalized Selberg zeta functions
zbMATH Open document ID: 0860.11048
author: Yasuro Gon
published in: Proceedings of the Japan Academy. Series A
publication date: 1997-04-24T00:00:00Z
review text: For a compact locally symmetric rank one space of even dimension the author introduces Gamma factors which symmetrize the functional equations for the corresponding generalized Selberg zeta functions. He expresses these in terms of multiple Gamma functions and from this obtains a simple proof for the functional equation of Ruelles' zeta function in case of real hyperbolic space.
reviewed by: Roland Matthes
Mathematics Subject Classification ID: 11M36
Mathematics Subject Classification ID: 11F72
zbMATH DE Number: 897673
zbMATH Keywords: Gamma factors
zbMATH Keywords: functional equations
zbMATH Keywords: generalized Selberg zeta functions
zbMATH Keywords: Ruelles' zeta function
zbMATH Keywords: real hyperbolic space
MaRDI profile type: Publication
full work available at URL: pjaa.71.148
OpenAlex ID: W2053125439
cites work: Analytic torsion and closed geodesics on hyperbolic manifolds
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cites work: Q4184934
cites work: Zeta functions of Selberg's type associated with homogeneous vector bundles
DOI: 10.3792/PJAA.71.148
description: scientific article; zbMATH DE number 897673