A General Characterization on the Uniqueness Problem of L-Functions and General Meromorphic Functions

TL;DR

This paper develops broad criteria for the uniqueness of L-functions and meromorphic functions, extending previous results and providing numerous examples to demonstrate the wide applicability of these criteria.

Contribution

It introduces a general framework for the uniqueness problem of L-functions and meromorphic functions, improving upon and extending prior results in the field.

Findings

Extended the criteria for uniqueness to the most general setting

Provided numerous examples illustrating the applicability of the results

Enhanced the understanding of the conditions under which L-functions are unique

Abstract

In the paper, concerning a question of Yi [23], we study general criterion for the uniqueness of an L-function and a general meromorphic function. Our results improve and extend all the existing results in this direction [23, 18, 17, 4] to the most general setting. Moreover, we have exhibited a handsome number of examples to justify our claims as well as to confirm the wide-ranging applications of our results.