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Uniqueness theorems of L-functions in the extended Selberg class

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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… Click to show full 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.

Keywords: uniqueness theorems; selberg class; extended selberg; functions extended; theorems functions

Journal Title: Acta Mathematica Scientia
Year Published: 2020

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