Antanas Laurinčikas, Renata Macaitienė, “Discrete limit theorems for Estermann zeta-functions. II”, Algebra Discrete Math., 2008, Issue 3,Pages <nobr>69

RESEARCH ARTICLE

Discrete limit theorems for Estermann zeta-functions. II

Antanas Laurinčikas^a, Renata Macaitienė^b

^a Department of Mathematics and Informatics, Vilnius University, Naugarduko 24, LT–03225 Vilnius, Lithuania
^b Department of Mathematics and Informatics, Šiauliai University, P. Visinskio 19, LT–77156 Siauliai, Lithuania

Abstract: A discrete limit theorem in the sense of weak convergence of probability measures in the space of meromorphic functions for the Estermann zeta-function with explicitly given the limit measure is proved.

Keywords: Estermann zeta-function, Haar measure, limit theorem, probability measure, weak convergence.

MSC: 11M41

Received: 26.02.2008
Revised: 14.10.2008

Language: English