N. G. Moshchevitin, “The defect of an admissible octahedron in a lattice”, Mat. Zametki, 58:4 (1995), 558–568; Math. Notes, 58:4 (1995), 1066

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Matematicheskie Zametki, 1995, Volume 58, Issue 4, Pages 558–568 (Mi mzm2076)

This article is cited in 7 scientific papers (total in 7 papers)

The defect of an admissible octahedron in a lattice

N. G. Moshchevitin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Full-text PDF (831 kB) Citations (7)

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Abstract: Systems of vectors determining an admissible octahedron in a lattice are considered. We discuss the property that such a system may be complemented to a basis of this lattice.

Received: 15.03.1994

English version:
Mathematical Notes, 1995, Volume 58, Issue 4, Pages 1066–1073
DOI: https://doi.org/10.1007/BF02305095

Bibliographic databases:

Language: Russian

Citation: N. G. Moshchevitin, “The defect of an admissible octahedron in a lattice”, Mat. Zametki, 58:4 (1995), 558–568; Math. Notes, 58:4 (1995), 1066–1073

Citation in format AMSBIB

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\jour Math. Notes

\yr 1995

\vol 58

\issue 4

\pages 1066--1073

\crossref{https://doi.org/10.1007/BF02305095}

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Linking options:

https://www.mathnet.ru/eng/mzm2076

https://www.mathnet.ru/eng/mzm/v58/i4/p558

This publication is cited in the following 7 articles:

Mikhail Fadin, “Bounds on the defect of an octahedron in a rational lattice”, Discrete Applied Mathematics, 344 (2024), 102
Fadin M., “Defect of An Octahedron in a Rational Lattice”, Discret Appl. Math., 276:SI (2020), 37–43
M. A. Fadin, A. M. Raigorodskii, “Maximum defect of an admissible octahedron in a rational lattice”, Russian Math. Surveys, 74:3 (2019), 552–554
A. A. Bagan, A. M. Raigorodskii, “Defect of an Admissible Octahedron in a Centering of an Integer Lattice Generated by a Given Number of Vectors”, Math. Notes, 99:3 (2016), 457–459
A. M. Raigorodskii, “On a problem in the geometry of numbers”, Tr. In-ta matem., 15:1 (2007), 111–117
A. M. Raigorodskii, “A Probabilistic Approach to the Problem of the Defects of Admissible Sets in a Lattice”, Math. Notes, 68:6 (2000), 770–774
A. M. Raigorodskii, “The defects of admissible balls and octahedra in a lattice, and systems of generic representatives”, Sb. Math., 189:6 (1998), 931–954

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	339
Full-text PDF :	126
References:	57
First page:	1

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