scientific article; zbMATH DE number 7120947

zbMath1447.11076MaRDI QIDQ5239661

M. M. Anzin

Publication date: 22 October 2019

Full work available at URL: http://mathnet.ru/eng/cheb408

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zbMATH Keywords

latticelattice covering\(L\)-partitioncovering density\(L\)-bodyCoxeter lattices

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31)

Cites Work

• The perfect form \(A^k_n\): the existence of lattices with a nonfundamental division simplex, and the existence of perfect forms which are not Minkowski-reducible to forms having identical diagonal coefficients
• The perfect lattices \(\Gamma ({\mathfrak A}^ n)\), and the covering density of \(\Gamma ({\mathfrak A}^ 9)\)
• On lattice covering density for \(n = 13\) and \(n = 15\)
• On a problem of Ryškov concerning lattice coverings
• The density of a lattice covering forn= 11 andn= 14
• The Number of Circles Covering a Set
• Extreme Forms
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