A survey on the theory of universality for zeta and $L$-functions

TL;DR

This survey reviews forty years of research on the universality properties of zeta and L-functions, highlighting key results and methods since Voronin's initial discovery for the Riemann zeta-function.

Contribution

It provides a comprehensive overview of the development and techniques in the theory of universality for various zeta and L-functions.

Findings

Summary of major universality results

Overview of methods used in proofs

Historical development of the theory

Abstract

We survey the results and the methods in the theory of universality for various zeta and $L$-functions, obtained in these forty years after the first discovery of the universality for the Riemann zeta-function by Voronin.