Selberg's zeta function for the modular group in the critical strip

TL;DR

This paper investigates the behavior and growth of Selberg's zeta function associated with the modular group specifically within the critical strip, providing insights into its complex analytic properties.

Contribution

It offers new analysis of the growth of Selberg's zeta function in the critical strip for the modular group, a topic with limited prior exploration.

Findings

Characterization of the growth rate in the critical strip

Insights into the distribution of zeros of the zeta function

Potential implications for spectral theory

Abstract

In the present paper, we study the growth of the Selberg zeta function for the modular group in the critical strip.