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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].

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
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