Value distribution of general Dirichlet series. IV (Q1881805)

General Dirichlet series \(\sum_{m=1}^{\infty} a_m\exp\{-\lambda_m s\}\), where \(s=\sigma+\imath t, a_m\in C, 0<\lambda_1<\lambda_2<\cdots\) with \(\lim_{m\to\infty}\lambda_m=+\infty,\) are considered. Limit theorem in the space of meromorphic functions is proved. The limiting measure is given explicitly. Part III, cf. A. Laurinčikas, W. Schwarz and J. Steuding, Dubickas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the third international conference in honour of J. Kubilius, Palanga, Lithuania 2001. Vilnius: TEV, 137--156 (2002; Zbl 1195.11118). Part V, see Lith. Math. J. 44, No. 2, 145--156 (2004; Zbl 1065.11070).