Uniqueness and two shared set problems of L-Function and certain class of meromorphic function
Number Theory
2020-08-28 v1 Complex Variables
Abstract
Starting with a question of Yuan-Li-Yi [Value distribution of L-functions and uniqueness questions of F. Gross, Lithuanian Math. J., 58(2)(2018), 249-262] we have studied the uniqueness of a meromorphic function f and an L-function L sharing two finite sets. At the time of execution of our work, we have pointed out a serious lacuna in the proof of a recent result of a of Sahoo-Halder [ Some results on L-functions related to sharing two finite sets, Comput. Methods Funct. Theo., 19(2019), 601-612] which makes most of the part of the Sahoo-Halder's paper under question. In context of our choice of sets, we have rectified Sahoo-Halder's result in a convenient manner.
Keywords
Cite
@article{arxiv.2008.12113,
title = {Uniqueness and two shared set problems of L-Function and certain class of meromorphic function},
author = {Abhijit Banerjee and Arpita Kundu},
journal= {arXiv preprint arXiv:2008.12113},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:2008.11071