The probabilistic number theory and continuum
Let bn be a sequence of real numbers increasing unboundedly, α > 0 and B(n, α) = [bn α]. The conditions on bn are considered, which imply the regularity of distribution of B(n, α) in arithmetic progressions for almost all α > 0. This allows to develop a piece of probabilistic number theory o...
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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/35485 |
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| _version_ | 1825197177572425728 |
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| author | Vilius Stakėnas |
| author_facet | Vilius Stakėnas |
| author_sort | Vilius Stakėnas |
| collection | DOAJ |
| description |
Let bn be a sequence of real numbers increasing unboundedly, α > 0 and B(n, α) = [bn α]. The conditions on bn are considered, which imply the regularity of distribution of B(n, α) in arithmetic progressions for almost all α > 0. This allows to develop a piece of probabilistic number theory on sequences B(n, α) for almost all α > 0.
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| format | Article |
| id | doaj-art-864277f833de4f08970fc5e8e8ca3f59 |
| 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-864277f833de4f08970fc5e8e8ca3f592025-02-11T18:15:40ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X1999-12-0139III10.15388/LMR.1999.35485The probabilistic number theory and continuumVilius Stakėnas0Vilnius University Let bn be a sequence of real numbers increasing unboundedly, α > 0 and B(n, α) = [bn α]. The conditions on bn are considered, which imply the regularity of distribution of B(n, α) in arithmetic progressions for almost all α > 0. This allows to develop a piece of probabilistic number theory on sequences B(n, α) for almost all α > 0. https://www.zurnalai.vu.lt/LMR/article/view/35485 |
| spellingShingle | Vilius Stakėnas The probabilistic number theory and continuum Lietuvos Matematikos Rinkinys |
| title | The probabilistic number theory and continuum |
| title_full | The probabilistic number theory and continuum |
| title_fullStr | The probabilistic number theory and continuum |
| title_full_unstemmed | The probabilistic number theory and continuum |
| title_short | The probabilistic number theory and continuum |
| title_sort | probabilistic number theory and continuum |
| url | https://www.zurnalai.vu.lt/LMR/article/view/35485 |
| work_keys_str_mv | AT viliusstakenas theprobabilisticnumbertheoryandcontinuum AT viliusstakenas probabilisticnumbertheoryandcontinuum |