On the value distribution of general Dirichlet series
Tom 133 / 2024
Annales Polonici Mathematici 133 (2024), 17-35
MSC: Primary 30D30; Secondary 30B50
DOI: 10.4064/ap240413-6-9
Opublikowany online: 14 October 2024
Streszczenie
We estimate the number of zeros and poles of , where L is a general Dirichlet series satisfying some conditions and \alpha is a meromorphic function with T(r,\alpha )=o(r) as r\rightarrow \infty . In addition, we give a uniqueness theorem in terms of a-points of Dirichlet series and find Picard exceptional values of some Dirichlet series, which is an improvement of a theorem from B. Li [Quart. J. Math. 72 (2021), 1089–1097].
