The purpose of the paper is to study the uniqueness problem of an L function in the Selberg class sharing one or two sets with an arbitrary meromorphic function having only finitely many poles. We manipulate the notion of weighted sharing of sets to improve a result of Q.Q. Yuan, X.M. Li, and H.X. Yi [Value distribution of L-functions and uniqueness questions of F. Gross, Lith. Math. J., 58(2):249–262, 2018]. Most importantly, we have pointed out a number of logical shortcomings in the two results of P. Sahoo and S. Haldar [Results on L functions and certain uniqueness question of Gross, Lith. Math. J., 60(1):80–91, 2020]. As an attempt to rectify the results of Sahoo and Halder, we have improved them by presenting their accurate forms and proofs as far as practicable.

本文的目的是研究Selberg类中的L函数的唯一性问题，该类共享一两个集合，而亚纯函数只有有限个极点。我们操纵集合的加权共享的概念来改善QQ元，李新明和HX Yi的结果[ L函数的值分布和F. Gross，Lith的唯一性问题。数学。J.，58（2）：249–262，2018]。最重要的是，我们在P. Sahoo和S. Haldar的两个结果中指出了一些逻辑上的缺陷[关于L函数的结果以及Gross，Lith的某些唯一性问题。数学。J.，60（1）：80–91，2020]。为了纠正Sahoo和Halder的结果，我们通过在可能的情况下提供准确的形式和证据来改进它们。