The effective use of remainder term estimation in the limit theorems
We investigate the asymptotic behavior of mean value of multiplicative arithmetic function from the class M1(G). In the present paper the asymptotic formula under special condition on prime elements of Knopfmacher’s semigroup G is obtained.
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2003-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/32323 |
| _version_ | 1797194373110169600 |
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| author | Rimantas Skrabutėnas |
| author_facet | Rimantas Skrabutėnas |
| author_sort | Rimantas Skrabutėnas |
| collection | DOAJ |
| description |
We investigate the asymptotic behavior of mean value of multiplicative arithmetic function from the class M1(G). In the present paper the asymptotic formula under special condition on prime elements of Knopfmacher’s semigroup G is obtained.
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| first_indexed | 2024-03-07T15:39:18Z |
| format | Article |
| id | doaj.art-1a1070f1dcba4415885de0bf58d7004a |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-04-24T05:55:15Z |
| publishDate | 2003-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-1a1070f1dcba4415885de0bf58d7004a2024-04-23T09:03:54ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2003-12-0143spec.10.15388/LMR.2003.32323The effective use of remainder term estimation in the limit theoremsRimantas Skrabutėnas0Vilnius Pedagogical University We investigate the asymptotic behavior of mean value of multiplicative arithmetic function from the class M1(G). In the present paper the asymptotic formula under special condition on prime elements of Knopfmacher’s semigroup G is obtained. https://www.journals.vu.lt/LMR/article/view/32323 |
| spellingShingle | Rimantas Skrabutėnas The effective use of remainder term estimation in the limit theorems Lietuvos Matematikos Rinkinys |
| title | The effective use of remainder term estimation in the limit theorems |
| title_full | The effective use of remainder term estimation in the limit theorems |
| title_fullStr | The effective use of remainder term estimation in the limit theorems |
| title_full_unstemmed | The effective use of remainder term estimation in the limit theorems |
| title_short | The effective use of remainder term estimation in the limit theorems |
| title_sort | effective use of remainder term estimation in the limit theorems |
| url | https://www.journals.vu.lt/LMR/article/view/32323 |
| work_keys_str_mv | AT rimantasskrabutenas theeffectiveuseofremaindertermestimationinthelimittheorems AT rimantasskrabutenas effectiveuseofremaindertermestimationinthelimittheorems |