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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
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
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
Linking options:
https://www.mathnet.ru/eng/vkam126 https://www.mathnet.ru/eng/vkam/y2016/i2/p18
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Abstract page: | 180 | Full-text PDF : | 117 | References: | 18 |
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