On the uniqueness of entire functions having Dirichlet series representations

Feng Lü and Weiran Lü

Mathematische Nachrichten, 2021, vol. 294, issue 9, 1773-1782

Abstract: 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].

Date: 2021
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