Discrete limit theorems for Estermann zeta-functions. I

Discrete limit theorems for Estermann zeta-functions. I

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.

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Bibliographic Details
Date:2018
Main Authors: Laurincikas, Antanas, Macaitiene, Renata
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
compact topological group
Estermann zeta-function
Haar measure
probability measure
limit theorem
weak convergence
11M41
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/870
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-870
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-8702018-03-21T12:35:55Z Discrete limit theorems for Estermann zeta-functions. I Laurincikas, Antanas Macaitiene, Renata compact topological group, Estermann zeta-function, Haar measure, probability measure, limit theorem, weak convergence 11M41 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. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/870 Algebra and Discrete Mathematics; Vol 6, No 4 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/870/400 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
collection OJS
language English
topic compact topological group
Estermann zeta-function
Haar measure
probability measure
limit theorem
weak convergence
11M41
spellingShingle compact topological group
Estermann zeta-function
Haar measure
probability measure
limit theorem
weak convergence
11M41
Laurincikas, Antanas
Macaitiene, Renata
Discrete limit theorems for Estermann zeta-functions. I
topic_facet compact topological group
Estermann zeta-function
Haar measure
probability measure
limit theorem
weak convergence
11M41
format Article
author Laurincikas, Antanas
Macaitiene, Renata
author_facet Laurincikas, Antanas
Macaitiene, Renata
author_sort Laurincikas, Antanas
title Discrete limit theorems for Estermann zeta-functions. I
title_short Discrete limit theorems for Estermann zeta-functions. I
title_full Discrete limit theorems for Estermann zeta-functions. I
title_fullStr Discrete limit theorems for Estermann zeta-functions. I
title_full_unstemmed Discrete limit theorems for Estermann zeta-functions. I
title_sort discrete limit theorems for estermann zeta-functions. i
description 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.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/870
work_keys_str_mv AT laurincikasantanas discretelimittheoremsforestermannzetafunctionsi
AT macaitienerenata discretelimittheoremsforestermannzetafunctionsi
first_indexed 2024-04-12T06:25:27Z
last_indexed 2024-04-12T06:25:27Z
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