Abstract
A discrete limit theorem for the Lerch zeta‐function on the complex plane is proved.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
P. Billingsley, Convergence of Probability Measures, Wiley, New York (1968).
H. Heyer, Probability Measures on Locally Compact Groups, Springer, Berlin (1977).
R. Garunkštis and A. Laurinčikas, On the Lerch zeta-function, Lith. Math. J., 36(4), 337–346 (1996).
J. Ignatavičiūtė, A limit theorem for the Lerch zeta-function, Liet. Matem. Rink., 40 (special issue), 21–27 (2000).
J. Ignatavičiūtė, A limit theorem for the Lerch zeta-function on the space of analytic functions, Proc. Sem. Fac. Phys. Math., Šiauliai University, 3, 5–13 (2000).
A. Laurinčikas, Elements of the Theory of Riemann Zeta-function [in Lithuanian], Vilnius (1992).
A. Laurinčikas, The Lerch zeta-function. I, Proc. Sem. Fac. Phys. Math., Šiauliai University, 3, 35–45 (2000).
M. Loèv, Probability Theory, D. Van Nostrand Company, Inc. XVI, Princeton, Toronto, New-York, London (1960).
H. L. Montgomery, Topics in Multiplicative Number Theory, Springer, Berlin (1971).
A. A. Tempelman, Ergodic Theorems on Groups, Mokslas, Vilnius (1986).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ignatavičiūtė, J. On Statistical Properties of the Lerch Zeta‐Function. Lithuanian Mathematical Journal 41, 330–343 (2001). https://doi.org/10.1023/A:1013856420129
Issue Date:
DOI: https://doi.org/10.1023/A:1013856420129