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Algebra and Discrete Mathematics, 2007, Issue 4, Pages 84–101 (Mi adm236)  
RESEARCH ARTICLE

Discrete limit theorems for Estermann zeta-functions. I

Antanas Laurinčikas, Renata Macaitienė

Department of Mathematics and Informatics, Šiauliai University, P. Višinskio 19, LT–77156 Šiauliai, Lithuania
Full-text PDF (257 kB)
Abstract: A discrete limit theorem in the sense of weak convergence of probability measures on the complex plane for the Estermann zeta-function is obtained. The explicit form of the limit measure in this theorem is given.
Keywords: compact topological group, Estermann zeta-function, Haar measure, probability measure, limit theorem, weak convergence.
Received: 09.07.2007
Revised: 07.04.2008
Bibliographic databases:
Document Type: Article
MSC: 11M41
Language: English
Citation: Antanas Laurinčikas, Renata Macaitienė, “Discrete limit theorems for Estermann zeta-functions. I”, Algebra Discrete Math., 2007, no. 4, 84–101
Citation in format AMSBIB
\Bibitem{LauMac07}
\by Antanas~Laurin{\v{c}}ikas, Renata~Macaitien{\.e}
\paper Discrete limit theorems for Estermann zeta-functions.~I
\jour Algebra Discrete Math.
\yr 2007
\issue 4
\pages 84--101
\mathnet{http://mi.mathnet.ru/adm236}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2423712}
\zmath{https://zbmath.org/?q=an:1164.11046}
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