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Matematicheskie Zametki, 1975, Volume 18, Issue 2, Pages 301–311 (Mi mzm7653)  
This article is cited in 7 scientific papers (total in 7 papers)

Maximal packing density of $n$-dimensional Euclidean space with equal balls

V. I. Levenshtein

Applied Mathematics Institute, Academy of Sciences of the USSR
Full-text PDF (749 kB) Citations (7)
Abstract: An estimate $\delta_n\le2^{-n(0,\!5237+o(1))}$ is obtained for the maximal packing density of $n$-dimensional Euclidean space with equal balls for $n\to\infty$. This result is based on an improvement in a corresponding upper estimate for the maximal packing density of the unit $(n-1)$-dimensional sphere with spherical caps of fixed angular radius.
Received: 25.03.1974
English version:
Mathematical Notes, 1975, Volume 18, Issue 2, Pages 765–771
DOI: https://doi.org/10.1007/BF01818046
Bibliographic databases:
UDC: 513.82
Language: Russian
Citation: V. I. Levenshtein, “Maximal packing density of $n$-dimensional Euclidean space with equal balls”, Mat. Zametki, 18:2 (1975), 301–311; Math. Notes, 18:2 (1975), 765–771
Citation in format AMSBIB
\Bibitem{Lev75}
\by V.~I.~Levenshtein
\paper Maximal packing density of $n$-dimensional Euclidean space with equal balls
\jour Mat. Zametki
\yr 1975
\vol 18
\issue 2
\pages 301--311
\mathnet{http://mi.mathnet.ru/mzm7653}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=397565}
\zmath{https://zbmath.org/?q=an:0315.52017}
\transl
\jour Math. Notes
\yr 1975
\vol 18
\issue 2
\pages 765--771
\crossref{https://doi.org/10.1007/BF01818046}
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    • This publication is cited in the following 7 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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