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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 275, Pages 240–249 (Mi tm3347)  
This article is cited in 5 scientific papers (total in 5 papers)

Lattice packing and covering of convex bodies

Peter M. Gruber

Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien, Vienna, Austria
Full-text PDF (197 kB) Citations (5)
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Abstract: The aim of this article is twofold. First, to indicate briefly major problems and developments dealing with lattice packings and coverings of balls and convex bodies. Second, to survey more recent results on uniqueness of lattice packings and coverings of extreme density, on characterization of local minima and maxima of the density and on estimates of the kissing number. Emphasis is on results in general dimensions.
Received in May 2011
English version:
Proceedings of the Steklov Institute of Mathematics, 2011, Volume 275, Pages 229–238
DOI: https://doi.org/10.1134/S0081543811080165
Bibliographic databases:
Document Type: Article
UDC: 514.17+511.9
Language: English
Citation: Peter M. Gruber, “Lattice packing and covering of convex bodies”, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Collected papers. In commemoration of the 120th anniversary of Boris Nikolaevich Delone's birth, Trudy Mat. Inst. Steklova, 275, MAIK Nauka/Interperiodica, Moscow, 2011, 240–249; Proc. Steklov Inst. Math., 275 (2011), 229–238
Citation in format AMSBIB
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\paper Lattice packing and covering of convex bodies
\inbook Classical and modern mathematics in the wake of Boris Nikolaevich Delone
\bookinfo Collected papers. In commemoration of the 120th anniversary of Boris Nikolaevich Delone's birth
\serial Trudy Mat. Inst. Steklova
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\vol 275
\pages 240--249
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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