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

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:
Selberg zeta-function
modular group
compact Riemann surface
Riemann zeta-function
critical strip
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/1039
id doaj-46feed7d439c42c482c165fff52b8d7d
record_format Article
spelling doaj-46feed7d439c42c482c165fff52b8d7d2021-07-02T11:57:13ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102015-11-0120610.3846/13926292.2015.1119213On the Modulus of the Selberg Zeta-Functions in the Critical StripAndrius Grigutis0Darius Šiaučiūnas1Faculty of Mathematics and Informatics, Vilnius University, Naugarduko str. 24, LT-03225 Vilnius, LithuaniaInstitute of Informatics, Mathematics and E-Studies, Šiauliai University, P. Višinskio str. 19, LT-77156 Šiauliai , Lithuania 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. https://journals.vgtu.lt/index.php/MMA/article/view/1039Selberg zeta-functionmodular groupcompact Riemann surfaceRiemann zeta-functioncritical strip
collection DOAJ
language English
format Article
sources DOAJ
author Andrius Grigutis
Darius Šiaučiūnas
spellingShingle Andrius Grigutis
Darius Šiaučiūnas
On the Modulus of the Selberg Zeta-Functions in the Critical Strip
Mathematical Modelling and Analysis
Selberg zeta-function
modular group
compact Riemann surface
Riemann zeta-function
critical strip
author_facet Andrius Grigutis
Darius Šiaučiūnas
author_sort Andrius Grigutis
title On the Modulus of the Selberg Zeta-Functions in the Critical Strip
title_short On the Modulus of the Selberg Zeta-Functions in the Critical Strip
title_full On the Modulus of the Selberg Zeta-Functions in the Critical Strip
title_fullStr On the Modulus of the Selberg Zeta-Functions in the Critical Strip
title_full_unstemmed On the Modulus of the Selberg Zeta-Functions in the Critical Strip
title_sort on the modulus of the selberg zeta-functions in the critical strip
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2015-11-01
description 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.
topic Selberg zeta-function
modular group
compact Riemann surface
Riemann zeta-function
critical strip
url https://journals.vgtu.lt/index.php/MMA/article/view/1039
work_keys_str_mv AT andriusgrigutis onthemodulusoftheselbergzetafunctionsinthecriticalstrip
AT dariussiauciunas onthemodulusoftheselbergzetafunctionsinthecriticalstrip
_version_ 1721330521478266880

Similar Items