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Algebra and Discrete Mathematics, 2007, Issue 4, Pages 84–101
(Mi adm236)
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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
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
Citation:
Antanas Laurinčikas, Renata Macaitienė, “Discrete limit theorems for Estermann zeta-functions. I”, Algebra Discrete Math., 2007, no. 4, 84–101
Linking options:
https://www.mathnet.ru/eng/adm236 https://www.mathnet.ru/eng/adm/y2007/i4/p84
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Statistics & downloads: |
Abstract page: | 150 | Full-text PDF : | 61 | First page: | 1 |
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