Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
References:
PDF
HTML
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}
\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}
Linking options:
  • https://www.mathnet.ru/eng/danma244
  • https://www.mathnet.ru/eng/danma/v503/p30
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025