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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| Datum: | 2018 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/870 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543438558724096 |
|---|---|
| author | Laurincikas, Antanas Macaitiene, Renata |
| author_facet | Laurincikas, Antanas Macaitiene, Renata |
| author_sort | Laurincikas, Antanas |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-03-21T12:35:55Z |
| 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. |
| first_indexed | 2026-02-08T07:59:49Z |
| format | Article |
| id | admjournalluguniveduua-article-870 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:59:49Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | Discrete limit theorems for Estermann zeta-functions. I |
| title_sort | discrete limit theorems for estermann zeta-functions. i |
| topic | compact topological group Estermann zeta-function Haar measure probability measure limit theorem weak convergence 11M41 |
| topic_facet | compact topological group Estermann zeta-function Haar measure probability measure limit theorem weak convergence 11M41 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/870 |
| work_keys_str_mv | AT laurincikasantanas discretelimittheoremsforestermannzetafunctionsi AT macaitienerenata discretelimittheoremsforestermannzetafunctionsi |