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On the uniqueness of entire functions having Dirichlet series representations
Mathematische Nachrichten ( IF 0.8 ) Pub Date : 2021-08-21 , DOI: 10.1002/mana.202000006
Feng Lü 1 , Weiran Lü 1
Affiliation  

It is proved that two entire functions of finite order having Dirichlet series representation in some right-half plane are identically equal if they have sufficiently many common a-points. In addition, based on the idea of Li in [15], we give a slightly briefer proof of a question posed by Bombieri and Perelli in [3].

中文翻译:

关于具有狄利克雷级数表示的整个函数的唯一性

证明了在某个右半平面上具有狄利克雷级数表示的两个有限阶全函数,如果它们有足够多的公共a点,则它们是完全相等的。此外,基于 [15] 中 Li 的想法,我们对 Bombieri 和 Perelli 在 [3] 中提出的问题给出了一个稍微简短的证明。
更新日期:2021-08-21
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