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Mat. Zametki, 2016, Volume 99, Issue 3, Pages 457–459 (Mi mz11043)  

This article is cited in 2 scientific papers (total in 2 papers)

Brief Communications

Defect of an Admissible Octahedron in a Centering of an Integer Lattice Generated by a Given Number of Vectors

A. A. Bagan, A. M. Raigorodskii

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

Keywords: centering of a lattice, defect of a frame with respect to a lattice, defect of an admissible octahedron.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-01-03530
Ministry of Education and Science of the Russian Federation МД-6008.2015.1
НШ-2964.2014.1
This work was supported by the Russian Foundation for Basic Research under grant 15-01-03530, by the program for the state support of young Russian scientists—candidates of sciences and doctors of science under grant MD-6008.2015.1, and by the program “Leading Scientific Schools” under grant NSh-2964.2014.1.


DOI: https://doi.org/10.4213/mzm11043

Full text: PDF file (327 kB)
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English version:
Mathematical Notes, 2016, 99:3, 457–459

Bibliographic databases:

Received: 09.12.2014

Citation: 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”, Mat. Zametki, 99:3 (2016), 457–459; Math. Notes, 99:3 (2016), 457–459

Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm11043
  • http://mi.mathnet.ru/eng/mz/v99/i3/p457

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

    This publication is cited in the following articles:
    1. M. A. Fadin, A. M. Raigorodskii, “Maximum defect of an admissible octahedron in a rational lattice”, Russian Math. Surveys, 74:3 (2019), 552–554  mathnet  crossref  crossref  adsnasa  isi  elib
    2. K. D. Kovalenko, A. M. Raigorodskii, “Systems of Representatives”, Math. Notes, 106:3 (2019), 372–377  mathnet  crossref  crossref  isi  elib
  • Математические заметки Mathematical Notes
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