DIRICHLET SERIES SATISFYING A RIEMANN TYPE FUNCTIONAL EQUATION AND SHARING A SET

被引：0

作者：

Li, Xiao-Min ^{[1
]}

Wu, Cong-Cong ^{[1
]}

Yi, Hong-Xun ^{[2
]}

机构：

[1] Ocean Univ China, Dept Math, Qingdao 266100, Shandong, Peoples R China

[2] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2020年 / 46卷 / 04期

关键词：

Dirichlet series; L-function; meromorphic function; Selberg class; UNIQUENESS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 2011, Li [9] proved that if two L-functions L-1 and L-2 satisfy the same functional equation with a(1) = 1 and L-1(-1) (cj) = L-2(-1) (cj) for two finite distinct complex numbers c(1) and c(2), then L-1 = L-2. We prove that if two L-functions L-1 and L-2 satisfy the same functional equation with a(1) = 1 and EL1(S) = EL2(S) for a finite set S = {c(1), c(2)}, where c(1) and c(2) are two finite distinct complex values, then L-1 = L-2.

引用

页码：915 / 933

页数：19