Simple zeros of degree 2 L-functions

TL;DR

This paper proves that the complete L-functions associated with classical holomorphic newforms possess infinitely many simple zeros, advancing understanding of their zero distribution.

Contribution

It establishes the infinite occurrence of simple zeros for a broad class of degree 2 L-functions, a novel result in the field.

Findings

Infinitely many simple zeros of these L-functions are proven.

The result applies to classical holomorphic newforms.

Advances knowledge of zero distribution in L-functions.

Abstract

We prove that the complete L-functions of classical holomorphic newforms have infinitely many simple zeros.