Explicit estimates of the number of distinct prime divisors of binomial coefficients
UDC 511 We propose explicit estimates of the number of distinct prime divisors of a binomial coefficient through the explicit generalizations of some principal existing results. We also prove interesting number-theoretical propositions for  the terms of a sequence of primes...
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| Datum: | 2024 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2024
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7551 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512684156387328 |
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| author | Berkane, Djamel Sadaoui, Boualem Dusart, Pierre Berkane, Djamel Sadaoui, Boualem Dusart, Pierre |
| author_facet | Berkane, Djamel Sadaoui, Boualem Dusart, Pierre Berkane, Djamel Sadaoui, Boualem Dusart, Pierre |
| author_sort | Berkane, Djamel |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-09-25T06:57:20Z |
| description | UDC 511
We propose explicit estimates of the number of distinct prime divisors of a binomial coefficient through the explicit generalizations of some principal existing results. We also prove interesting number-theoretical propositions for  the terms of a sequence of primes. |
| doi_str_mv | 10.3842/umzh.v76i8.7551 |
| first_indexed | 2026-03-24T03:32:42Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7551 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:42Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-75512024-09-25T06:57:20Z Explicit estimates of the number of distinct prime divisors of binomial coefficients Explicit estimates of the number of distinct prime divisors of binomial coefficients Berkane, Djamel Sadaoui, Boualem Dusart, Pierre Berkane, Djamel Sadaoui, Boualem Dusart, Pierre Binomial coefficient Primorial number, Explicit estimate Prime divisor On the Number of Distinct Prime Divisors of Binomial Coefficients UDC 511 We propose explicit estimates of the number of distinct prime divisors of a binomial coefficient through the explicit generalizations of some principal existing results. We also prove interesting number-theoretical propositions for  the terms of a sequence of primes. УДК 511 Явні оцінки кількості різних простих дільників біноміальних коефіцієнтів  Запропоновано явні оцінки кількості різних простих дільників біноміального коефіцієнта, отримані за допомогою явних узагальнень деяких основних відомих результатів. Доведено також деякі цікаві результати з теорії чисел щодо членів послідовності простих чисел. Institute of Mathematics, NAS of Ukraine 2024-09-04 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7551 10.3842/umzh.v76i8.7551 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 8 (2024); 1111 - 1119 Український математичний журнал; Том 76 № 8 (2024); 1111 - 1119 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7551/10147 Copyright (c) 2024 DJAMEL BERKANE, Boualem SADAOUI, PIERRE DUSART |
| spellingShingle | Berkane, Djamel Sadaoui, Boualem Dusart, Pierre Berkane, Djamel Sadaoui, Boualem Dusart, Pierre Explicit estimates of the number of distinct prime divisors of binomial coefficients |
| title | Explicit estimates of the number of distinct prime divisors of binomial coefficients |
| title_alt | Explicit estimates of the number of distinct prime divisors of binomial coefficients |
| title_full | Explicit estimates of the number of distinct prime divisors of binomial coefficients |
| title_fullStr | Explicit estimates of the number of distinct prime divisors of binomial coefficients |
| title_full_unstemmed | Explicit estimates of the number of distinct prime divisors of binomial coefficients |
| title_short | Explicit estimates of the number of distinct prime divisors of binomial coefficients |
| title_sort | explicit estimates of the number of distinct prime divisors of binomial coefficients |
| topic_facet | Binomial coefficient Primorial number, Explicit estimate Prime divisor On the Number of Distinct Prime Divisors of Binomial Coefficients |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7551 |
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