UNIQUENESS THEOREMS OF L-FUNCTIONS IN THE EXTENDED SELBERG CLASS

doi:10.1007/s10473-020-0406-0

数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (4): 970-980.doi: 10.1007/s10473-020-0406-0

UNIQUENESS THEOREMS OF L-FUNCTIONS IN THE EXTENDED SELBERG CLASS

陈俊凡¹, 邱春晖²

1. College of Mathematics and Informatics/Fujian Key Laboratory of Mathematical Analysis and Applications, Fujian Normal University, Fuzhou 350117, China;
2. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

收稿日期:2019-05-24 修回日期:2019-07-31 出版日期:2020-08-25 发布日期:2020-08-21
通讯作者: Junfan CHEN E-mail:junfanchen@163.com
作者简介:Chunhui QIU,E-mail:chqiu@xmu.edu.cn
基金资助:
The work was supported by the National Natural Science Foundation of China (11301076, 11571288 and 11971401), and the Natural Science Foundation of Fujian Province, China (2018J01658).

UNIQUENESS THEOREMS OF L-FUNCTIONS IN THE EXTENDED SELBERG CLASS

Junfan CHEN¹, Chunhui QIU²

1. College of Mathematics and Informatics/Fujian Key Laboratory of Mathematical Analysis and Applications, Fujian Normal University, Fuzhou 350117, China;
2. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

Received:2019-05-24 Revised:2019-07-31 Online:2020-08-25 Published:2020-08-21
Contact: Junfan CHEN E-mail:junfanchen@163.com
Supported by:
The work was supported by the National Natural Science Foundation of China (11301076, 11571288 and 11971401), and the Natural Science Foundation of Fujian Province, China (2018J01658).

摘要/Abstract

摘要： We establish uniqueness theorems of L-functions in the extended Selberg class, which show how an L-function and a meromorphic function are uniquely determined by their shared values in two finite sets. This can be seen as a new solution of a problem proposed by Gross.

关键词: L-function, shared set, meromorphic function, uniqueness

Abstract: We establish uniqueness theorems of L-functions in the extended Selberg class, which show how an L-function and a meromorphic function are uniquely determined by their shared values in two finite sets. This can be seen as a new solution of a problem proposed by Gross.

Key words: L-function, shared set, meromorphic function, uniqueness

中图分类号:

11M36

陈俊凡, 邱春晖. UNIQUENESS THEOREMS OF L-FUNCTIONS IN THE EXTENDED SELBERG CLASS[J]. 数学物理学报(英文版), 2020, 40(4): 970-980.

Junfan CHEN, Chunhui QIU. UNIQUENESS THEOREMS OF L-FUNCTIONS IN THE EXTENDED SELBERG CLASS[J]. Acta mathematica scientia,Series B, 2020, 40(4): 970-980.

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UNIQUENESS THEOREMS OF L-FUNCTIONS IN THE EXTENDED SELBERG CLASS

UNIQUENESS THEOREMS OF L-FUNCTIONS IN THE EXTENDED SELBERG CLASS

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