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

    Andrius Grigutis Affiliation
    ; Darius Šiaučiūnas Affiliation

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.

Keyword : Selberg zeta-function, modular group, compact Riemann surface, Riemann zeta-function, critical strip

How to Cite
Grigutis, A., & Šiaučiūnas, D. (2015). On the Modulus of the Selberg Zeta-Functions in the Critical Strip. Mathematical Modelling and Analysis, 20(6), 852-865. https://doi.org/10.3846/13926292.2015.1119213
Published in Issue
Nov 23, 2015
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This work is licensed under a Creative Commons Attribution 4.0 International License.