A formula for the logarithmic derivative of Selberg's zeta function
type: Item
instance of: scholarly article
title: A formula for the logarithmic derivative of Selberg's zeta function
zbMATH Open document ID: 0684.10039
author: Masato Wakayama
published in: Journal of the Mathematical Society of Japan
publication date: 1989-01-01T00:00:00Z
review text: Inserting a suitable test function into the Selberg trace formula the author obtains a new formula for the logarithmic derivative \(\psi_{\Gamma}\) of the Selberg zeta function. This gives a new proof of the functional equation for \(\psi_{\Gamma}\) and a new determination of its poles and residues.
Mathematics Subject Classification ID: 11M35
Mathematics Subject Classification ID: 11F12
Mathematics Subject Classification ID: 11F70
Mathematics Subject Classification ID: 30F10
zbMATH DE Number: 4120269
zbMATH Keywords: Selberg trace formula
zbMATH Keywords: logarithmic derivative
zbMATH Keywords: Selberg zeta function
zbMATH Keywords: functional equation
zbMATH Keywords: poles
zbMATH Keywords: residues
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/04130463
OpenAlex ID: W2012069848
DOI: 10.2969/JMSJ/04130463
description: scientific article; zbMATH DE number 4120269