On the Mean Values of the Dirichlet Series
For Dirichlet series with arbitrary abscissa of absolute convergence, we investigate the relationhip between the increase in the maximum term and \(\left( {\mathop \sum \nolimits_{n = 1}^\infty \left| {a_n } \right|^q \exp \{ q\sigma \lambda _n \} } \right)^{1/q}\) , q ∈ (0,+∞).
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| Date: | 2004 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
2004
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3861 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509994738253824 |
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| author | Zelisko, M. M. Sheremeta, M. M. Зеліско, M. M. Шеремета, М. М. |
| author_facet | Zelisko, M. M. Sheremeta, M. M. Зеліско, M. M. Шеремета, М. М. |
| author_sort | Zelisko, M. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:12:48Z |
| description | For Dirichlet series with arbitrary abscissa of absolute convergence, we investigate the relationhip between the increase in the maximum term and \(\left( {\mathop \sum \nolimits_{n = 1}^\infty \left| {a_n } \right|^q \exp \{ q\sigma \lambda _n \} } \right)^{1/q}\) , q ∈ (0,+∞). |
| first_indexed | 2026-03-24T02:49:57Z |
| format | Article |
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| id | umjimathkievua-article-3861 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:49:57Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7d/815ad7b116d32ccdd4a2601a7db9557d.pdf |
| spelling | umjimathkievua-article-38612020-03-18T20:12:48Z On the Mean Values of the Dirichlet Series Про середні значення ряду Діріхле Zelisko, M. M. Sheremeta, M. M. Зеліско, M. M. Шеремета, М. М. For Dirichlet series with arbitrary abscissa of absolute convergence, we investigate the relationhip between the increase in the maximum term and \(\left( {\mathop \sum \nolimits_{n = 1}^\infty \left| {a_n } \right|^q \exp \{ q\sigma \lambda _n \} } \right)^{1/q}\) , q ∈ (0,+∞). Для ряду Діріхле з довільною абсцисою абсолютної збіжності досліджено зв'язок між зростанням максимального члена $\left( {\mathop \sum \nolimits_{n = 1}^\infty \left| {a_n } \right|^q \exp \{ q\sigma \lambda _n \} } \right)^{1/q}$, $q ∈ (0,+∞)$. Institute of Mathematics, NAS of Ukraine 2004-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3861 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 11 (2004); 1501-1502 Український математичний журнал; Том 56 № 11 (2004); 1501-1502 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3861/4441 https://umj.imath.kiev.ua/index.php/umj/article/view/3861/4442 Copyright (c) 2004 Zelisko M. M.; Sheremeta M. M. |
| spellingShingle | Zelisko, M. M. Sheremeta, M. M. Зеліско, M. M. Шеремета, М. М. On the Mean Values of the Dirichlet Series |
| title | On the Mean Values of the Dirichlet Series |
| title_alt | Про середні значення ряду Діріхле |
| title_full | On the Mean Values of the Dirichlet Series |
| title_fullStr | On the Mean Values of the Dirichlet Series |
| title_full_unstemmed | On the Mean Values of the Dirichlet Series |
| title_short | On the Mean Values of the Dirichlet Series |
| title_sort | on the mean values of the dirichlet series |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3861 |
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