Value Distribution of L-Functions Concerning Sharing Sets

Abstract

We use the concept of set centroid to study the value distribution of {\it L}-functions in the (extended) Selberg class, which shows how an {\it L}-function and a meromorphic function are uniquely determined by their two sharing sets. The results in this paper extend Theorem 1 in Li [A result on value distribution of {\it L}-functions,Proc. Amer. Math. Soc., 138(6):2071–2077, 2010]. In addition, we show the accuracy of the results by giving some examples.