Higher torsion zeta functions
type: Item
instance of: scholarly article
title: Higher torsion zeta functions
zbMATH Open document ID: 0853.58106
published in: Advances in Mathematics
publication date: 1996-08-24T00:00:00Z
review text: The author studies a formula due to Ray and Singer, which expresses the holomorphic torsion of a Riemannian surface of genus \(\geq 2\) as a special value for the zeta function of a dynamical system. Similar formulas are proved by Fried for manifolds of constant negative curvature, and by Moscovici and Stanton for manifolds whose universal cover is homogeneous of fundamental rank one. Here these results are extended to the case of arbitrary locally homogeneous manifolds of odd dimension satisfying some additional conditions.
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 37C25
Mathematics Subject Classification ID: 22E30
zbMATH DE Number: 745277
zbMATH Keywords: holomorphic torsion
zbMATH Keywords: Riemannian surface
zbMATH Keywords: zeta function
author: Anton Deitmar
reviewed by: Georgi E. Karadzhov
MaRDI profile type: Publication
full work available at URL: aima.1995.1004
OpenAlex ID: W1990069281
DOI: 10.1006/AIMA.1995.1004
description: scientific article; zbMATH DE number 745277