Value Distribution of L-Functions Concerning Sharing Sets

被引：15

作者：

Lin, Peiqiang ^{[1
]}

Lin, Weichuan ^{[1
]}

机构：

[1] Fujian Normal Univ, Dept Math, Fuzhou 350007, Peoples R China

来源：

FILOMAT | 2016年 / 30卷 / 14期

基金：

中国国家自然科学基金;

关键词：

Riemann zeta function; L-function; sharing set; uniqueness; UNIQUENESS; POLYNOMIALS;

D O I：

10.2298/FIL1614795L

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the concept of set centroid to study the value distribution of L-functions in the (extended) Selberg class, which shows how an 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 L-functions, Proc. Amer. Math. Soc., 138(2010):2071-2077]. In addition, we show the accuracy of the results by giving some examples.

引用

页码：3795 / 3806

页数：12

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