On the zeros of functions in the Selberg class

TL;DR

This paper proves that certain degree two functions within the Selberg class possess infinitely many zeros on the critical line, advancing understanding of their zero distribution.

Contribution

It establishes conditions under which degree two Selberg class functions have infinitely many zeros on the critical line, a new result in analytic number theory.

Findings

Degree two Selberg functions have infinitely many zeros on the critical line.

Provides conditions ensuring zeros lie on the critical line.

Enhances understanding of zero distribution in the Selberg class.

Abstract

It is proved that under some suitable conditions, the degree two functions in the Selberg class have infinitely many zeros on the critical line.