The local limit theorem of Delange in the Knopfmacher's semigroup
An asymptotic formula of the mean value of multiplicative arithmetic function from the class Ma(G) with asymptotical expansion of the main term is obtained. In the present paper the local limit theorem of the H. Delange type is proved.
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2004-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
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| Online Access: | https://www.journals.vu.lt/LMR/article/view/31873 |
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| _version_ | 1832593199034531840 |
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| author | Rimantas Skrabutėnas |
| author_facet | Rimantas Skrabutėnas |
| author_sort | Rimantas Skrabutėnas |
| collection | DOAJ |
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An asymptotic formula of the mean value of multiplicative arithmetic function from the class Ma(G) with asymptotical expansion of the main term is obtained. In the present paper the local limit theorem of the H. Delange type is proved.
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| format | Article |
| id | doaj-art-72af9fca249d4c7bb4744d85a4af2999 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2004-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-72af9fca249d4c7bb4744d85a4af29992025-01-20T18:16:57ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2004-12-0144spec.10.15388/LMR.2004.31873The local limit theorem of Delange in the Knopfmacher's semigroupRimantas Skrabutėnas0Vilnius Pedagogical University An asymptotic formula of the mean value of multiplicative arithmetic function from the class Ma(G) with asymptotical expansion of the main term is obtained. In the present paper the local limit theorem of the H. Delange type is proved. https://www.journals.vu.lt/LMR/article/view/31873arithmetic functionasymptotic behaviour of mean valueslimit distributions |
| spellingShingle | Rimantas Skrabutėnas The local limit theorem of Delange in the Knopfmacher's semigroup Lietuvos Matematikos Rinkinys arithmetic function asymptotic behaviour of mean values limit distributions |
| title | The local limit theorem of Delange in the Knopfmacher's semigroup |
| title_full | The local limit theorem of Delange in the Knopfmacher's semigroup |
| title_fullStr | The local limit theorem of Delange in the Knopfmacher's semigroup |
| title_full_unstemmed | The local limit theorem of Delange in the Knopfmacher's semigroup |
| title_short | The local limit theorem of Delange in the Knopfmacher's semigroup |
| title_sort | local limit theorem of delange in the knopfmacher s semigroup |
| topic | arithmetic function asymptotic behaviour of mean values limit distributions |
| url | https://www.journals.vu.lt/LMR/article/view/31873 |
| work_keys_str_mv | AT rimantasskrabutenas thelocallimittheoremofdelangeintheknopfmacherssemigroup AT rimantasskrabutenas locallimittheoremofdelangeintheknopfmacherssemigroup |