Laurinčikas, A.; Schwarz, W.; Steuding, J. Value distribution of general Dirichlet series. III. (English) Zbl 1195.11118 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, September 24–28, 2001. Vilnius: TEV (ISBN 9955-491-30-2/hbk). 137-156 (2002). Summary: The authors prove a limit theorem in the sense of weak convergence of probability measures in the space of meromorphic functions for a function given by a general Dirichlet series. An explicit form of the limit measure is given.For Part II, see the first author, Lith. Math. J. 41, No. 4, 351–360 (2001); translation from Liet. Mat. Rink. 41, No. 4, 449–460 (2001; Zbl 1116.11315).For the entire collection see [Zbl 1006.00014]. Cited in 3 ReviewsCited in 3 Documents MSC: 11M41 Other Dirichlet series and zeta functions 30B50 Dirichlet series, exponential series and other series in one complex variable 60B05 Probability measures on topological spaces 60B10 Convergence of probability measures Citations:Zbl 1116.11315 PDFBibTeX XMLCite \textit{A. Laurinčikas} et al., in: Analytic and probabilistic methods in number theory. Proceedings of the third international conference in honour of J. Kubilius, Palanga, Lithuania, September 24--28, 2001. Vilnius: TEV. 137--156 (2002; Zbl 1195.11118)