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Matematicheskie Zametki, 2001, Volume 69, Issue 3, Pages 353–362
DOI: https://doi.org/10.4213/mzm509 (Mi mzm509) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Minimal Bases in Complete 3-Lattices

O. A. Gorkusha

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (187 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm509
Abstract: We construct so-called “minimal bases” in the Minkowski sense for complete 3-lattices.
Received: 17.01.2000
English version:
Mathematical Notes, 2001, Volume 69, Issue 3, Pages 320–328
DOI: https://doi.org/10.1023/A:1010227323598
Bibliographic databases:
UDC: 511.334+515.178
Language: Russian
Citation: O. A. Gorkusha, “Minimal Bases in Complete 3-Lattices”, Mat. Zametki, 69:3 (2001), 353–362; Math. Notes, 69:3 (2001), 320–328
Citation in format AMSBIB
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\jour Math. Notes
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\pages 320--328
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  • https://doi.org/10.4213/mzm509
  • https://www.mathnet.ru/eng/mzm/v69/i3/p353
    • This publication is cited in the following 5 articles:
    1. A. V. Ustinov, “On the Three-Dimensional Vahlen Theorem”, Math. Notes, 95:1 (2014), 136–138  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    2. Oleg Karpenkov, Algorithms and Computation in Mathematics, 26, Geometry of Continued Fractions, 2013, 357  crossref
    3. A. V. Ustinov, “Minimal Vector Systems in 3-Dimensional Lattices and Analog of Vahlen's Theorem for 3-Dimensional Minkowski's Continued Fractions”, Proc. Steklov Inst. Math., 280, suppl. 2 (2013), S91–S116  mathnet  crossref  crossref  zmath  isi  elib
    4. A. A. Illarionov, “The average number of local minima of three-dimensional integer lattices”, St. Petersburg Math. J., 23:3 (2012), 551–570  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    5. M. O. Avdeeva, V. A. Bykovskii, “An analogue of Vahlen's theorem for simultaneous approximations of a pair of numbers”, Sb. Math., 194:7 (2003), 955–967  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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