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Matematicheskie Zametki, 2000, Volume 68, Issue 6, Pages 910–916
DOI: https://doi.org/10.4213/mzm1014 (Mi mzm1014) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A Probabilistic Approach to the Problem of the Defects of Admissible Sets in a Lattice

A. M. Raigorodskii

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (206 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm1014
Abstract: New estimates for the defect of the admissible set in a lattice are obtained for a sufficiently large class of sequences.
Received: 21.04.1999
English version:
Mathematical Notes, 2000, Volume 68, Issue 6, Pages 770–774
DOI: https://doi.org/10.1023/A:1026616918102
Bibliographic databases:
UDC: 511.9+519.112.71
Language: Russian
Citation: A. M. Raigorodskii, “A Probabilistic Approach to the Problem of the Defects of Admissible Sets in a Lattice”, Mat. Zametki, 68:6 (2000), 910–916; Math. Notes, 68:6 (2000), 770–774
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm1014
  • https://doi.org/10.4213/mzm1014
  • https://www.mathnet.ru/eng/mzm/v68/i6/p910
    • This publication is cited in the following 5 articles:
    1. Fadin M., “Defect of An Octahedron in a Rational Lattice”, Discret Appl. Math., 276:SI (2020), 37–43  crossref  mathscinet  isi
    2. 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  mathscinet  zmath  adsnasa  isi  elib
    3. K. D. Kovalenko, A. M. Raigorodskii, “Systems of Representatives”, Math. Notes, 106:3 (2019), 372–377  mathnet  crossref  crossref  mathscinet  isi  elib
    4. 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  mathnet  crossref  crossref  mathscinet  isi  elib
    5. A. M. Raigorodskii, “On a problem in the geometry of numbers”, Tr. In-ta matem., 15:1 (2007), 111–117  mathnet
    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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