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Matematicheskie Zametki, 1974, Volume 16, Issue 3, Pages 447–454 (Mi mzm7480)  
This article is cited in 2 scientific papers (total in 2 papers)

Density of an $(r,R)$-system

S. S. Ryshkov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (692 kB) Citations (2)
Abstract: In this paper we give a complete geometrical theory for the study of the exact lower bound of the density of $n$-dimensional lattices. For arbitrary $(r,R)$-systems we prove an analog of well known theorems due to Rogers from the theory of packings, and also from this same theory, an analog of a theorem due to Coxeter, Few, and Rogers. Several special examples are treated.
Received: 29.03.1973
English version:
Mathematical Notes, 1974, Volume 16, Issue 3, Pages 855–858
DOI: https://doi.org/10.1007/BF01148135
Bibliographic databases:
UDC: 513
Language: Russian
Citation: S. S. Ryshkov, “Density of an $(r,R)$-system”, Mat. Zametki, 16:3 (1974), 447–454; Math. Notes, 16:3 (1974), 855–858
Citation in format AMSBIB
\Bibitem{Rys74}
\by S.~S.~Ryshkov
\paper Density of an $(r,R)$-system
\jour Mat. Zametki
\yr 1974
\vol 16
\issue 3
\pages 447--454
\mathnet{http://mi.mathnet.ru/mzm7480}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=396415}
\zmath{https://zbmath.org/?q=an:0312.10017}
\transl
\jour Math. Notes
\yr 1974
\vol 16
\issue 3
\pages 855--858
\crossref{https://doi.org/10.1007/BF01148135}
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  • https://www.mathnet.ru/eng/mzm/v16/i3/p447
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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