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Diskretnaya Matematika, 2017, Volume 29, Issue 3, Pages 133–143
DOI: https://doi.org/10.4213/dm1454 (Mi dm1454) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotic behavior of functions$\Omega(k; n)$ and $\omega(k; n)$ relatedto the number of prime divisors

A. V. Shubin

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
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DOI: https://doi.org/10.4213/dm1454
Abstract: This article is related to the average estimates of numerical functions $\Omega(k; n)$ and $\omega(k; n)$ connected with the number of prime divisors of $n$ with limited multiplicity.
Keywords: functions of prime divisors, divisor multiplicity, fractional part, density theorem.
Received: 24.07.2016
English version:
Discrete Mathematics and Applications, 2019, Volume 29, Issue 2, Pages 121–129
DOI: https://doi.org/10.1515/dma-2019-0011
Bibliographic databases:
UDC: 511.335
Language: Russian
Citation: A. V. Shubin, “Asymptotic behavior of functions$\Omega(k; n)$ and $\omega(k; n)$ relatedto the number of prime divisors”, Diskr. Mat., 29:3 (2017), 133–143; Discrete Math. Appl., 29:2 (2019), 121–129
Citation in format AMSBIB
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\by A.~V.~Shubin
\paper Asymptotic behavior of functions$\Omega(k; n)$ and $\omega(k; n)$ relatedto the number of prime divisors
\jour Diskr. Mat.
\yr 2017
\vol 29
\issue 3
\pages 133--143
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\crossref{https://doi.org/10.4213/dm1454}
\elib{https://elibrary.ru/item.asp?id=29887807}
\transl
\jour Discrete Math. Appl.
\yr 2019
\vol 29
\issue 2
\pages 121--129
\crossref{https://doi.org/10.1515/dma-2019-0011}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000465304800004}
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  • https://www.mathnet.ru/eng/dm1454
  • https://doi.org/10.4213/dm1454
  • https://www.mathnet.ru/eng/dm/v29/i3/p133
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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