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On the Modulus of the Selberg Zeta-Functions in the Critical Strip

Authors :
Andrius Grigutis
Darius Šiaučiūnas
Source :
Mathematical Modelling and Analysis, Vol 20, Iss 6 (2015)
Publication Year :
2015
Publisher :
Vilnius Gediminas Technical University, 2015.

Abstract

We investigate the behavior of the real part of the logarithmic derivatives of the Selberg zeta-functions ZPSL(2,Z)(s) and ZC (s) in the critical strip 0 < σ < 1. The functions ZPSL(2,Z)(s) and ZC (s) are defined on the modular group and on the compact Riemann surface, respectively.

Details

Language :
English
ISSN :
13926292 and 16483510
Volume :
20
Issue :
6
Database :
Directory of Open Access Journals
Journal :
Mathematical Modelling and Analysis
Publication Type :
Academic Journal
Accession number :
edsdoj.46feed7d439c42c482c165fff52b8d7d
Document Type :
article
Full Text :
https://doi.org/10.3846/13926292.2015.1119213