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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 411, Pages 135–147 (Mi znsl5637)  
This article is cited in 6 scientific papers (total in 6 papers)

The Kruskal–Katona function, Conway sequence, Takagi curve, and Pascal adic

A. R. Minabutdinov, I. E. Manaev

St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
Full-text PDF (1189 kB) Citations (6)
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Abstract: We study interrelations between the Kruskal–Katona function, Conway sequence, Takagi curve, and Pascal adic. Using the results of the current paper and, in particular, the convergence of the sequence $2a(n)-n$, where $a(n)$ is the Conway sequence, to the family of generalized Takagi curves, we prove a similar result for the Kruskal–Katona function. Moreover, a recursive method of computing the values of the Kruskal–Katona function is suggested.
Key words and phrases: Pascal adic, Kruscal–Katona function, Conway sequence, Takagi curve.
Received: 07.03.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 196, Issue 2, Pages 192–198
DOI: https://doi.org/10.1007/s10958-013-1652-7
Bibliographic databases:
Document Type: Article
UDC: 517.987.5
Language: Russian
Citation: A. R. Minabutdinov, I. E. Manaev, “The Kruskal–Katona function, Conway sequence, Takagi curve, and Pascal adic”, Representation theory, dynamical systems, combinatorial methods. Part XXII, Zap. Nauchn. Sem. POMI, 411, POMI, St. Petersburg, 2013, 135–147; J. Math. Sci. (N. Y.), 196:2 (2014), 192–198
Citation in format AMSBIB
\Bibitem{MinMan13}
\by A.~R.~Minabutdinov, I.~E.~Manaev
\paper The Kruskal--Katona function, Conway sequence, Takagi curve, and Pascal adic
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXII
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 411
\pages 135--147
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5637}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3048274}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 196
\issue 2
\pages 192--198
\crossref{https://doi.org/10.1007/s10958-013-1652-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84897046654}
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  • https://www.mathnet.ru/eng/znsl/v411/p135
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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