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Value-sharing and uniqueness for $L$-functions

Volume 126 / 2021

Ha Huy Khoai, Vu Hoai An, Le Quang Ninh Annales Polonici Mathematici 126 (2021), 265-278 MSC: Primary 30D35; Secondary 11M36, 30D05. DOI: 10.4064/ap201030-17-3 Published online: 9 June 2021

Abstract

We show some classes of subsets $S, T$ in $\mathbb C$ such that for a meromorphic function $f$ and an $L$-function $L,$ the condition $ L^{-1}(S)=f^{-1}(T)$ implies $f\equiv L.$

Authors

  • Ha Huy KhoaiThang Long Institute of Mathematics and Applied Sciences
    Hanoi, Vietnam
    e-mail
  • Vu Hoai AnThang Long Institute of Mathematics and Applied Sciences
    Hai Duong Pedagogical College
    Hai Duong, Vietnam
    e-mail
  • Le Quang NinhThai Nguyen University
    Thai Nguyen, Vietnam
    e-mail

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