Asymptotical expansions in the Kubilius theorem of large deviations
In the present paper, a local theorem of large deviations for arithmetic functions defined in Knopfmacher’s semigroup is obtained.
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2005-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
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| Online Access: | https://www.journals.vu.lt/LMR/article/view/24540 |
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| _version_ | 1832593196971982848 |
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| author | Rimantas Skrabutėnas |
| author_facet | Rimantas Skrabutėnas |
| author_sort | Rimantas Skrabutėnas |
| collection | DOAJ |
| description |
In the present paper, a local theorem of large deviations for arithmetic functions defined in Knopfmacher’s semigroup is obtained.
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| format | Article |
| id | doaj-art-6c160e7833374e0a85242dd4da81e97c |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2005-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-6c160e7833374e0a85242dd4da81e97c2025-01-20T18:16:08ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2005-12-0145spec.10.15388/LMR.2005.24540Asymptotical expansions in the Kubilius theorem of large deviationsRimantas Skrabutėnas0Vilnius Pedagogical University In the present paper, a local theorem of large deviations for arithmetic functions defined in Knopfmacher’s semigroup is obtained. https://www.journals.vu.lt/LMR/article/view/24540arithmetic functionasymptotic behaviour of mean valueslocal distributionslarge deviationsasymptotical expansions |
| spellingShingle | Rimantas Skrabutėnas Asymptotical expansions in the Kubilius theorem of large deviations Lietuvos Matematikos Rinkinys arithmetic function asymptotic behaviour of mean values local distributions large deviations asymptotical expansions |
| title | Asymptotical expansions in the Kubilius theorem of large deviations |
| title_full | Asymptotical expansions in the Kubilius theorem of large deviations |
| title_fullStr | Asymptotical expansions in the Kubilius theorem of large deviations |
| title_full_unstemmed | Asymptotical expansions in the Kubilius theorem of large deviations |
| title_short | Asymptotical expansions in the Kubilius theorem of large deviations |
| title_sort | asymptotical expansions in the kubilius theorem of large deviations |
| topic | arithmetic function asymptotic behaviour of mean values local distributions large deviations asymptotical expansions |
| url | https://www.journals.vu.lt/LMR/article/view/24540 |
| work_keys_str_mv | AT rimantasskrabutenas asymptoticalexpansionsinthekubiliustheoremoflargedeviations |