An inequality for the Selberg zeta-function, associated to the compact Riemann surface

Abstract

We consider the absolute values of the Selberg zeta-function, associated to the compact Riemann surface, at places symmetric with respect to the line ℛ(s) = 1/2. We prove an inequality for the Selberg zeta-function, extending the result of R. Garunkštis and A. Grigutis.

Keywords

• inequalities
• selberg zeta-function
• clausen function
• primary 11m36
• secondary 30a10