About the linear Diophantine equations and ways of their solutions
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2016), pp. 18-23
Cet article a éte moissonné depuis la source Math-Net.Ru
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.
@article{VKAM_2016_2_a2,
author = {A. H. Kodzokov and Z. O. Beslaneev and A. L. Nagorov and M. B. Tkhamokov},
title = {About the linear {Diophantine} equations and ways of their solutions},
journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
pages = {18--23},
year = {2016},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VKAM_2016_2_a2/}
}
TY - JOUR AU - A. H. Kodzokov AU - Z. O. Beslaneev AU - A. L. Nagorov AU - M. B. Tkhamokov TI - About the linear Diophantine equations and ways of their solutions JO - Vestnik KRAUNC. Fiziko-matematičeskie nauki PY - 2016 SP - 18 EP - 23 IS - 2 UR - http://geodesic.mathdoc.fr/item/VKAM_2016_2_a2/ LA - ru ID - VKAM_2016_2_a2 ER -
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A. H. Kodzokov; Z. O. Beslaneev; A. L. Nagorov; M. B. Tkhamokov. About the linear Diophantine equations and ways of their solutions. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2016), pp. 18-23. http://geodesic.mathdoc.fr/item/VKAM_2016_2_a2/
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