Linear Diophantine equations and applications
, 2016 The present manuscript covers the following subjects, all related to the study of nonnegative integer solutions of linear systems of Diophantine equations. • The justification and implementation of the software DPSolve to compute the nonnegative integer solutions of systems of linear Diophantine equations, which improves a previous procedure based on ...
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Positive and negative solutions of linear Diophantine equation with two variables
Let and be integers where and , we call a linear Diophantine equation with two variables. It is known that the equation has a solution if and only if can be divided by the greatest common divisor of and .
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