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On the uniqueness of L-function and meromorphic function sharing one or two sets. (English) Zbl 1474.11153

Summary: In this paper, we study the uniqueness of an L-function and a meromorphic function when they share one or two sets. We focus on sharing of two sets, one set with finite weight 2 and another set IM. We also have considered the case of sharing only one set with finite weight 2. The results of this paper improve the recent results due to Q.-Q. Yuan et al. [Lith. Math. J. 58, No. 2, 249–262 (2018; Zbl 1439.11231)].

MSC:

11M36 Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas)
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

Citations:

Zbl 1439.11231
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