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UNIQUENESS THEOREMS OF L-FUNCTIONS IN THE EXTENDED SELBERG CLASS

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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.
作者 陈俊凡 邱春晖 Junfan CHEN;Chunhui QIU(College of Mathematics and Informatics/Fujian Key Laboratory of Mathematical Analysis and Applications,Fujian Normal University,Fuzhou 350117,China;School of Mathematical Sciences,Xiamen University,Xiamen 361005,China)
出处 《Acta Mathematica Scientia》 SCIE CSCD 2020年第4期970-980,共11页 数学物理学报(B辑英文版)
基金 the National Natural Science Foundation of China(11301076,11571288 and 11971401) the Natural Science Foundation of Fujian Province,China(2018J01658).
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