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Diskretnaya Matematika, 2021, Volume 33, Issue 3, Pages 121–141
DOI: https://doi.org/10.4213/dm1655 (Mi dm1655) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the “tree” structure of natural numbers

V. V. Iudelevich

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/dm1655
Abstract: With each positive integer one can naturally associate a graph in the form of a tree. This paper is concerned with the average values of the number of edges, the number of leaves and the height of trees corresponding to positive integers not greater than a given boundary.
Keywords: prime divisors, multiplicity of a divisor, Riemann zeta function.
Received: 11.06.2021
English version:
Discrete Mathematics and Applications, 2022, Volume 32, Issue 5, Pages 325–340
DOI: https://doi.org/10.1515/dma-2022-0027
Document Type: Article
UDC: 511.212+519.172.1
Language: Russian
Citation: V. V. Iudelevich, “On the “tree” structure of natural numbers”, Diskr. Mat., 33:3 (2021), 121–141; Discrete Math. Appl., 32:5 (2022), 325–340
Citation in format AMSBIB
\Bibitem{Iud21}
\by V.~V.~Iudelevich
\paper On the ``tree'' structure of natural numbers
\jour Diskr. Mat.
\yr 2021
\vol 33
\issue 3
\pages 121--141
\mathnet{http://mi.mathnet.ru/dm1655}
\crossref{https://doi.org/10.4213/dm1655}
\transl
\jour Discrete Math. Appl.
\yr 2022
\vol 32
\issue 5
\pages 325--340
\crossref{https://doi.org/10.1515/dma-2022-0027}
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    • 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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