Abstract
In the paper, a limit theorem in the sense of the weak convergence of probability measures in the space of meromorphic functions for general Dirichlet series is proved.
Similar content being viewed by others
References
P. Billingsley, Convergence of Probability Measures, Wiley, New York (1968).
A. Ivič, The Riemann Zeta-Function, Wiley, New York (1995).
A. Laurinčikas, Value-distribution of general Dirichlet series, in: Probability Theory and Mathematical Statistics: Proceedings of the Seventh Vilnius Conference (1998), B. Grigelionis et al. (Eds.), VSP/Utrecht, TEV/Vilnius (1999), pp. 405–414.
A. Laurinčikas and K. Matsumoto, Joint value-distribution theorems on Lerch zeta-functions, Lith. Math. J., 38(3), 238–249 (1998).
B. V. Shabat, Introduction to Complex Analysis [in Russian], Nauka, Moscow (1969).
E. C. Titchmarsh, The Theory of Function, Oxford University Press, Oxford (1939).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Laurinčikas, A. Value‐Distribution of General Dirichlet Series. II. Lithuanian Mathematical Journal 41, 351–360 (2001). https://doi.org/10.1023/A:1013860521038
Issue Date:
DOI: https://doi.org/10.1023/A:1013860521038