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Published in 2020 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-020-0406-0
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…
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Keywords:
uniqueness theorems;
selberg class;
extended selberg;
functions extended ... See more keywords
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Published in 2017 at "Bulletin of The Australian Mathematical Society"
DOI: 10.1017/s000497271700020x
Abstract: This paper concerns the problem of algebraic differential independence of the gamma function and ${\mathcal{L}}$ -functions in the extended Selberg class. We prove that the two kinds of functions cannot satisfy a class of algebraic…
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Keywords:
class;
extended selberg;
algebraic differential;
gamma function ... See more keywords