New asymptotic formulas for sums over zeros of functions from the Selberg class

TL;DR

This paper derives new asymptotic formulas for sums over zeros of functions in the Selberg class, advancing the understanding of their distribution and properties.

Contribution

It introduces novel asymptotic formulas for sums over zeros of Selberg class functions, extending previous research by Murty, Perelli, Zaharescu, Kamiya, Suzuki, and Steuding.

Findings

New asymptotic formulas for sums over zeros of Selberg class functions.

Extension of previous zero distribution investigations.

Advancement in the analytic understanding of Selberg class functions.

Abstract

In this paper, new asymptotic formulas for sums over zeros of functions from the Selberg class are obtained. These results continue the investigations of Murty $\&$ Perelli \cite{12}, of Murty $\&$ Zaharescu \cite{13}, of Kamiya $\&$ Suzuki \cite{8}, of Steuding \cite{19} and other authors.