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

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.

Bibliographic Details
Main Authors: Andrius Grigutis, Darius Šiaučiūnas
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2015-11-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/1039