Geodesic
About the linear Diophantine equations and ways of their solutions
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2016), pp. 18-23

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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. 
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     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},
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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/