The distributions of sums of the prime indicators with respect to distinct frequencies
A characterization of a set of strongly additive functions fx which has the same limit law with respect to ordinary and logarithmic frequencies is obtained. Strongly additive functions which take zero or unit for each prime p are considered.
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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 |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/31879 |
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| _version_ | 1832593178948009984 |
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| author | Jonas Šiaulys |
| author_facet | Jonas Šiaulys |
| author_sort | Jonas Šiaulys |
| collection | DOAJ |
| description |
A characterization of a set of strongly additive functions fx which has the same limit law with respect to ordinary and logarithmic frequencies is obtained. Strongly additive functions which take zero or unit for each prime p are considered.
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| format | Article |
| id | doaj-art-2e9170cf715441a3bee657e8e656b24f |
| 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-2e9170cf715441a3bee657e8e656b24f2025-01-20T18:16:56ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2004-12-0144spec.10.15388/LMR.2004.31879The distributions of sums of the prime indicators with respect to distinct frequenciesJonas Šiaulys0Vilnius University A characterization of a set of strongly additive functions fx which has the same limit law with respect to ordinary and logarithmic frequencies is obtained. Strongly additive functions which take zero or unit for each prime p are considered. https://www.journals.vu.lt/LMR/article/view/31879additive functionlogarithmic frequencylimit distribution |
| spellingShingle | Jonas Šiaulys The distributions of sums of the prime indicators with respect to distinct frequencies Lietuvos Matematikos Rinkinys additive function logarithmic frequency limit distribution |
| title | The distributions of sums of the prime indicators with respect to distinct frequencies |
| title_full | The distributions of sums of the prime indicators with respect to distinct frequencies |
| title_fullStr | The distributions of sums of the prime indicators with respect to distinct frequencies |
| title_full_unstemmed | The distributions of sums of the prime indicators with respect to distinct frequencies |
| title_short | The distributions of sums of the prime indicators with respect to distinct frequencies |
| title_sort | distributions of sums of the prime indicators with respect to distinct frequencies |
| topic | additive function logarithmic frequency limit distribution |
| url | https://www.journals.vu.lt/LMR/article/view/31879 |
| work_keys_str_mv | AT jonassiaulys thedistributionsofsumsoftheprimeindicatorswithrespecttodistinctfrequencies AT jonassiaulys distributionsofsumsoftheprimeindicatorswithrespecttodistinctfrequencies |