Discrete uniform limit law for additive functions on shifted primes
The sufficient and necessary conditions for a weak convergence of distributions of a set of strongly additive functions fx , x ⩾ 2, the arguments of which run through shifted primes, to the discrete uniform law are obtained. The case when fx (p) ∈ {0, 1} for every prime pis considered.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2016-07-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13453 |
| _version_ | 1818336895424266240 |
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| author | Gediminas Stepanauskas Laura Žvinytė |
| author_facet | Gediminas Stepanauskas Laura Žvinytė |
| author_sort | Gediminas Stepanauskas |
| collection | DOAJ |
| description | The sufficient and necessary conditions for a weak convergence of distributions of a set of strongly additive functions fx , x ⩾ 2, the arguments of which run through shifted primes, to the discrete uniform law are obtained. The case when fx (p) ∈ {0, 1} for every prime pis considered. |
| first_indexed | 2024-12-13T14:46:35Z |
| format | Article |
| id | doaj.art-3cfde0c19c5d4984b826d2f3206eb3d1 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-13T14:46:35Z |
| publishDate | 2016-07-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-3cfde0c19c5d4984b826d2f3206eb3d12022-12-21T23:41:27ZengVilnius University PressNonlinear Analysis1392-51132335-89632016-07-0121410.15388/NA.2016.4.1Discrete uniform limit law for additive functions on shifted primesGediminas Stepanauskas0Laura Žvinytė1Vilnius UniversityVilnius UniversityThe sufficient and necessary conditions for a weak convergence of distributions of a set of strongly additive functions fx , x ⩾ 2, the arguments of which run through shifted primes, to the discrete uniform law are obtained. The case when fx (p) ∈ {0, 1} for every prime pis considered.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13453additive functiondiscrete uniform lawfrequencyweak convergence |
| spellingShingle | Gediminas Stepanauskas Laura Žvinytė Discrete uniform limit law for additive functions on shifted primes Nonlinear Analysis additive function discrete uniform law frequency weak convergence |
| title | Discrete uniform limit law for additive functions on shifted primes |
| title_full | Discrete uniform limit law for additive functions on shifted primes |
| title_fullStr | Discrete uniform limit law for additive functions on shifted primes |
| title_full_unstemmed | Discrete uniform limit law for additive functions on shifted primes |
| title_short | Discrete uniform limit law for additive functions on shifted primes |
| title_sort | discrete uniform limit law for additive functions on shifted primes |
| topic | additive function discrete uniform law frequency weak convergence |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13453 |
| work_keys_str_mv | AT gediminasstepanauskas discreteuniformlimitlawforadditivefunctionsonshiftedprimes AT laurazvinyte discreteuniformlimitlawforadditivefunctionsonshiftedprimes |