Articles

UNIQUENESS THEOREMS OF L-FUNCTIONS IN THE EXTENDED SELBERG CLASS

  • Junfan CHEN ,
  • Chunhui QIU
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  • 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 date: 2019-05-24

  Revised date: 2019-07-31

  Online published: 2020-08-21

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).

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.

Cite this article

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 . DOI: 10.1007/s10473-020-0406-0

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