## Abstract

Here we prove a limit theorem in the sense of the weak convergence of probability measures in the space of meromorphic functions for a general Dirichlet series. The explicit form of the limit measure in this theorem is given.

Show Summary Details# Discrete limit theorems for general Dirichlet series. III

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*Analysis*, 2006, Volume 26, Number 3*Acta Applicandae Mathematicae*, 2007, Volume 97, Number 1-3, Page 99*Analysis*, 2007, Volume 26, Number 3, Page 373

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A. Laurinčikas / R. Macaitienė

Here we prove a limit theorem in the sense of the weak convergence of probability measures in the space of meromorphic functions for a general Dirichlet series. The explicit form of the limit measure in this theorem is given.

Keywords: Dirichlet series; probability measure; random element; weak convergence

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**Published Online**: 2004-06-01

**Published in Print**: 2004-06-01

**Citation Information: **Open Mathematics, Volume 2, Issue 3, Pages 339–361, ISSN (Online) 2391-5455, DOI: https://doi.org/10.2478/BF02475231.

© 2004 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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[1]

Renata Macaitiene

[2]

Renata Macaitienė

[3]

Renata Macaitiene

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