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A Remark on the Factorization of Factorials

The subject of this paper is to study distribution of the prime factors p and their exponents, which we denote by vp (n!), in standard factorization of n! into primes. We show that for each θ > 0 the primes p not exceeding nθ eventually assume almost all value of the sum ∑p⩽nθ vp(n!). Also, we intro...

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Hlavní autoři: Mehdi Hassani, Mahmoud Marie
Médium: Artigo
Jazyk:Inglês
Vydáno: University of Kashan 2021-09-01
Edice:Mathematics Interdisciplinary Research
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On-line přístup:https://mir.kashanu.ac.ir/article_111895_95cb4d730a26d08b2cc21d98d04876cb.pdf
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