Value Distribution of L-functions

TL;DR

This paper studies the value distribution of a special class of L-functions called the Lindel"of class, establishing new results and proving a uniqueness theorem within the broader Selberg class.

Contribution

It introduces new results on the value distribution of Lindel"of class L-functions and proves a related uniqueness theorem in the Selberg class.

Findings

Results on the value distribution of Lindel"of class L-functions

A new uniqueness theorem in the Selberg class

Enhanced understanding of the structure of L-functions

Abstract

In 2002, V. Kumar Murty \cite{Km} introduced a class of $L$-functions, namely the Lindel\"of class, which has a ring structure attached to it. In this paper, we establish some results on the value distribution of $L$-functions in this class. As a corollary, we also prove a uniqueness theorem in the Selberg class.