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Matematicheskie Zametki, 2024, Volume 115, Issue 3, Pages 458–465
DOI: https://doi.org/10.4213/mzm14143 (Mi mzm14143) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Growth Function of $n$-Valued Dynamics

M. A. Chirkov

Regional Scientific and Educational Mathematical Center, P. G. Demidov Yaroslavl State University
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DOI: https://doi.org/10.4213/mzm14143
Abstract: This paper answers the question of V. M. Buchstaber on growth function in case of certain $n$-valued group. This question is in close relation to specific discrete integrable systems. In this paper we find a specific formula for growth function given the case of prime $n$. We also prove a polynomial asymptotic estimate of the growth function in general case. At the end we pose new conjectures and questions regarding growth functions.
Keywords: $n$-valued group, $n$-valued dynamics, growth function, cyclic composition.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-948
This work was supported by the Ministry of Science and Higher Education of the Russian Federation (contract no. 075-02-2023-948).
Received: 20.08.2023
Revised: 25.11.2023
English version:
Mathematical Notes, 2024, Volume 115, Issue 3, Pages 420–426
DOI: https://doi.org/10.1134/S0001434624030143
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: M. A. Chirkov, “On Growth Function of $n$-Valued Dynamics”, Mat. Zametki, 115:3 (2024), 458–465; Math. Notes, 115:3 (2024), 420–426
Citation in format AMSBIB
\Bibitem{Chi24}
\by M.~A.~Chirkov
\paper On Growth Function of $n$-Valued Dynamics
\jour Mat. Zametki
\yr 2024
\vol 115
\issue 3
\pages 458--465
\mathnet{http://mi.mathnet.ru/mzm14143}
\crossref{https://doi.org/10.4213/mzm14143}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4767916}
\transl
\jour Math. Notes
\yr 2024
\vol 115
\issue 3
\pages 420--426
\crossref{https://doi.org/10.1134/S0001434624030143}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85197712634}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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