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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2016, Number 2(13), Pages 18–23
DOI: https://doi.org/10.18454/2079-6641-2016-13-2-18-23 (Mi vkam126) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

About the linear Diophantine equations and ways of their solutions

A. H. Kodzokov, Z. O. Beslaneev, A. L. Nagorov, M. B. Tkhamokov

Kabardino-Balkarian state university of H.M. Berbekov 360004, KBR, Nalchik, Chernyshevsky str., 173
Full-text PDF (267 kB) Citations (2)
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DOI: https://doi.org/10.18454/2079-6641-2016-13-2-18-23
Abstract: The paper discusses ways to solve linear Diophantine equations in the particular case of two unknowns, and, in general, with a few unknowns. The main result is contained in Theorem 1, which provides a general method for solving any Diophantine equation, based on a comparison of the relevant module.
Keywords: linear Diophantine equations, congruence modulo, Euclidean algorithm method.
Received: 29.03.2016
English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2016, Volume 13, Issue 2, Pages 16–21
DOI: https://doi.org/10.18454/2313-0156-2016-13-2-16-21
Bibliographic databases:
Document Type: Article
UDC: 517.91
MSC: 34L99
Language: Russian
Citation: A. H. Kodzokov, Z. O. Beslaneev, A. L. Nagorov, M. B. Tkhamokov, “About the linear Diophantine equations and ways of their solutions”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, no. 2(13), 18–23; Bulletin KRASEC. Phys. & Math. Sci., 13:2 (2016), 16–21
Citation in format AMSBIB
\Bibitem{KodBesNag16}
\by A.~H.~Kodzokov, Z.~O.~Beslaneev, A.~L.~Nagorov, M.~B.~Tkhamokov
\paper About the linear Diophantine equations and ways of their solutions
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2016
\issue 2(13)
\pages 18--23
\mathnet{http://mi.mathnet.ru/vkam126}
\crossref{https://doi.org/10.18454/2079-6641-2016-13-2-18-23}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3535552}
\elib{https://elibrary.ru/item.asp?id=26527424}
\transl
\jour Bulletin KRASEC. Phys. & Math. Sci.
\yr 2016
\vol 13
\issue 2
\pages 16--21
\crossref{https://doi.org/10.18454/2313-0156-2016-13-2-16-21}
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  • https://www.mathnet.ru/eng/vkam/y2016/i2/p18
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
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    Full-text PDF :117
    References:18
     
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