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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Publication Details

Journal
Ukrains’kyi Matematychnyi Zhurnal
Published
2024-09-04
DOI
https://doi.org/10.3842/umzh.v76i8.7551
Primary Topic
Analytic Number Theory Research
Type
article
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article

Explicit estimates of the number of distinct prime divisors of binomial coefficients

Pierre Dusart, Boualem Sadaoui, Djamel Berkane
Ukrains’kyi Matematychnyi Zhurnal
Analytic Number Theory Research
article

Explicit estimates of the number of distinct prime divisors of binomial coefficients

Pierre Dusart, Boualem Sadaoui, Djamel Berkane
article en

Abstract

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.

Ukrains’kyi Matematychnyi ZhurnalVol. 76(8)
XLIM (FR), Université Djilali Bounaama Khemis Miliana (DZ), Université de Limoges (FR), University of Blida (DZ)
Openalex Percentile: Top 70%
Analytic Number Theory Research
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