Local distributions of multiplicative functions
In the present paper the local distribution laws of values of multiplicative arithmetic functions g : G → R defined on arithmetical semigroups G and belonging to the class M(G) is considered. An asymptotical expansion for the main term in local limit theorem is obtained.
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| Format: | Article |
| Language: | English |
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Vilnius University Press
1999-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/35484 |
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| _version_ | 1825197139190349824 |
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| author | Rimantas Skrabutėnas |
| author_facet | Rimantas Skrabutėnas |
| author_sort | Rimantas Skrabutėnas |
| collection | DOAJ |
| description |
In the present paper the local distribution laws of values of multiplicative arithmetic functions g : G → R defined on arithmetical semigroups G and belonging to the class M(G) is considered. An asymptotical expansion for the main term in local limit theorem is obtained.
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| format | Article |
| id | doaj-art-02781dab22f54ce2a2aa8f29778660b8 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 1999-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-02781dab22f54ce2a2aa8f29778660b82025-02-11T18:15:40ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X1999-12-0139III10.15388/LMR.1999.35484Local distributions of multiplicative functionsRimantas Skrabutėnas0Vilnius Pedagogical University In the present paper the local distribution laws of values of multiplicative arithmetic functions g : G → R defined on arithmetical semigroups G and belonging to the class M(G) is considered. An asymptotical expansion for the main term in local limit theorem is obtained. https://www.zurnalai.vu.lt/LMR/article/view/35484 |
| spellingShingle | Rimantas Skrabutėnas Local distributions of multiplicative functions Lietuvos Matematikos Rinkinys |
| title | Local distributions of multiplicative functions |
| title_full | Local distributions of multiplicative functions |
| title_fullStr | Local distributions of multiplicative functions |
| title_full_unstemmed | Local distributions of multiplicative functions |
| title_short | Local distributions of multiplicative functions |
| title_sort | local distributions of multiplicative functions |
| url | https://www.zurnalai.vu.lt/LMR/article/view/35484 |
| work_keys_str_mv | AT rimantasskrabutenas localdistributionsofmultiplicativefunctions |