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Uniqueness theorems of L-functions in the extended Selberg class
Acta Mathematica Scientia ( IF 1.2 ) Pub Date : 2020-06-05 , DOI: 10.1007/s10473-020-0406-0
Junfan Chen , Chunhui Qiu

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.

中文翻译:

扩展 Selberg 类中 L 函数的唯一性定理

我们在扩展的 Selberg 类中建立了 L 函数的唯一性定理,它展示了 L 函数和亚纯函数如何由它们在两个有限集合中的共享值唯一确定。这可以看作是 Gross 提出的一个问题的新解决方案。
更新日期:2020-06-05
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