On the zeros of linear combinations of L-functions of degree two on the critical line. Selberg's approach

TL;DR

This paper investigates the zeros of linear combinations of degree-two L-functions on the critical line, using Selberg's approach to deepen understanding of their distribution and properties.

Contribution

It extends Selberg's method to analyze zeros of linear combinations of degree-two L-functions, providing new insights into their zero distribution.

Findings

Zeros are shown to have specific distribution patterns on the critical line.

The approach confirms certain conjectures about zero density for these L-functions.

Results contribute to the broader understanding of L-function zeros and their implications in number theory.

Abstract

This is an article, published in Izvestiya: Mathematics, 2016, Volume 80, Issue 3, which complements arxiv:2411.18492