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Matematicheskie Zametki, 1975, Volume 18, Issue 2, Pages 213–221 (Mi mzm7644)  

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

Representation of unimodular matrices in the form DOTU for n=3

Kh. N. Narzullaev

Samarkand State University
Full-text PDF (553 kB) Citations (7)
Abstract: A proof is given of the representation of any unimodular matrix of order three as the product of a diagonal, orthogonal, triangular and unimodular integral one.
Received: 29.04.1974
English version:
Mathematical Notes, 1975, Volume 18, Issue 2, Pages 713–719
DOI: https://doi.org/10.1007/BF01818037
Bibliographic databases:
UDC: 51
Language: Russian
Citation: Kh. N. Narzullaev, “Representation of unimodular matrices in the form DOTU for n=3”, Mat. Zametki, 18:2 (1975), 213–221; Math. Notes, 18:2 (1975), 713–719
Citation in format AMSBIB
\Bibitem{Nar75}
\by Kh.~N.~Narzullaev
\paper Representation of unimodular matrices in the form $DOTU$ for $n=3$
\jour Mat. Zametki
\yr 1975
\vol 18
\issue 2
\pages 213--221
\mathnet{http://mi.mathnet.ru/mzm7644}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=392839}
\zmath{https://zbmath.org/?q=an:0325.10015}
\transl
\jour Math. Notes
\yr 1975
\vol 18
\issue 2
\pages 713--719
\crossref{https://doi.org/10.1007/BF01818037}
Linking options:
  • https://www.mathnet.ru/eng/mzm7644
  • https://www.mathnet.ru/eng/mzm/v18/i2/p213
  • This publication is cited in the following 7 articles:
    1. Aleksandr Vasilevich Malyshev, “Osnovnye ponyatiya i teoremy geometrii chisel”, Chebyshevskii Sbornik, 20:3 (2020), 44  crossref
    2. A. V. Malyshev, “Osnovnye ponyatiya i teoremy geometrii chisel”, Chebyshevskii sb., 20:3 (2019), 43–73  mathnet  crossref
    3. R. P. Bambah, V. C. Dumir, R. J. Hans-Gill, Number Theory, 2000, 15  crossref
    4. North-Holland Mathematical Library, 37, Geometry of Numbers, 1987, 632  crossref
    5. A. C. Woods, “The asymmetric product of three inhomogeneous linear forms”, J. Aust. Math. Soc., 31:4 (1981), 439  crossref
    6. Peter M. Gruber, Contributions to Geometry, 1979, 186  crossref
    7. Peter Gruber, “Eine Bemerkung über DOTU-Matrizen”, Journal of Number Theory, 8:3 (1976), 350  crossref
    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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