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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 503, Pages 30–32
DOI: https://doi.org/10.31857/S2686954322020072 (Mi danma244) 		 
MATHEMATICS

On coverings of tori with cubes

I. I. Bogdanova, O. Grigoryanb, M. E. Zhukovskiia

a Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow oblast, Russia
b National Research University Higher School of Economics, Moscow, Russia
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DOI: https://doi.org/10.31857/S2686954322020072
Abstract: We obtain new bounds and exact values of the minimum number of cubes with side length $\varepsilon\in(0,1)$ covering the torus $[\mathbb R/\mathbb Z]^3$.
Keywords: covering with cubes, torus, translation.
Funding agency Grant number
Russian Science Foundation 21-71-10092
This work was supported by the Russian Science Foundation, project no. 21-71-10092.
Presented: V. V. Kozlov
Received: 06.01.2022
Revised: 06.01.2022
Accepted: 09.02.2022
English version:
Doklady Mathematics, 2022, Volume 105, Issue 2, Pages 75–77
DOI: https://doi.org/10.1134/S1064562422020077
Bibliographic databases:
Document Type: Article
UDC: 519.147
Language: Russian
Citation: I. I. Bogdanov, O. Grigoryan, M. E. Zhukovskii, “On coverings of tori with cubes”, Dokl. RAN. Math. Inf. Proc. Upr., 503 (2022), 30–32; Dokl. Math., 105:2 (2022), 75–77
Citation in format AMSBIB
\Bibitem{BogGriZhu22}
\by I.~I.~Bogdanov, O.~Grigoryan, M.~E.~Zhukovskii
\paper On coverings of tori with cubes
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2022
\vol 503
\pages 30--32
\mathnet{http://mi.mathnet.ru/danma244}
\crossref{https://doi.org/10.31857/S2686954322020072}
\elib{https://elibrary.ru/item.asp?id=48506198}
\transl
\jour Dokl. Math.
\yr 2022
\vol 105
\issue 2
\pages 75--77
\crossref{https://doi.org/10.1134/S1064562422020077}
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