Value-sharing and uniqueness for $L$-functions
Volume 126 / 2021
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 $f\equiv L.$
