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On the uniqueness of entire functions having Dirichlet series representations

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  • Feng Lü
  • Weiran Lü

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].

Suggested Citation

  • Feng Lü & Weiran Lü, 2021. "On the uniqueness of entire functions having Dirichlet series representations," Mathematische Nachrichten, Wiley Blackwell, vol. 294(9), pages 1773-1782, September.
    • Handle: RePEc:bla:mathna:v:294:y:2021:i:9:p:1773-1782
    DOI: 10.1002/mana.202000006
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