Distribution of values of additive functions on short intervals
We consider a family of completely additive functions βq(n) defined on the set of natural numbers. We find an asymptotic expression for the summation function Σ n≤x β q (n study its distribution on short intervals.
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| Datum: | 2000 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2000
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4414 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510545007869952 |
|---|---|
| author | Taranenko, N. V. Таранепко, H. В. Таранепко, H. В. |
| author_facet | Taranenko, N. V. Таранепко, H. В. Таранепко, H. В. |
| author_sort | Taranenko, N. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:28:32Z |
| description | We consider a family of completely additive functions βq(n) defined on the set of natural numbers. We find an asymptotic expression for the summation function Σ n≤x β q (n study its distribution on short intervals. |
| first_indexed | 2026-03-24T02:58:42Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4414 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:58:42Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a7/d79409733776f362bf27e80f2cf65ea7.pdf |
| spelling | umjimathkievua-article-44142020-03-18T20:28:32Z Distribution of values of additive functions on short intervals Распределение значений аддитивной функции в коротких интервалах Taranenko, N. V. Таранепко, H. В. Таранепко, H. В. We consider a family of completely additive functions βq(n) defined on the set of natural numbers. We find an asymptotic expression for the summation function Σ n≤x β q (n study its distribution on short intervals. Розглядається сім'я цілком адитивних функцій $β_q(n)$ визначених на множині натуральних чисел. Знайдено асимптотичну формулу для суматориої функції $β_q(n)$ та вивчено розподіл її значень в коротких інтервалах. Institute of Mathematics, NAS of Ukraine 2000-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4414 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 2 (2000); 257-265 Український математичний журнал; Том 52 № 2 (2000); 257-265 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4414/5532 https://umj.imath.kiev.ua/index.php/umj/article/view/4414/5533 Copyright (c) 2000 Taranenko N. V. |
| spellingShingle | Taranenko, N. V. Таранепко, H. В. Таранепко, H. В. Distribution of values of additive functions on short intervals |
| title | Distribution of values of additive functions on short intervals |
| title_alt | Распределение значений аддитивной функции в коротких интервалах |
| title_full | Distribution of values of additive functions on short intervals |
| title_fullStr | Distribution of values of additive functions on short intervals |
| title_full_unstemmed | Distribution of values of additive functions on short intervals |
| title_short | Distribution of values of additive functions on short intervals |
| title_sort | distribution of values of additive functions on short intervals |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4414 |
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