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arXiv · 1607.03097

On a Kind of Nonlinear Diophantine Equation

Massimo Salvi
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Abstract

In this paper we show a way to generalize the linear Diophantine equation a1x1+a2x2+...+anxn=d . We deal with the nonlinear Diophantine equation det|A X|=+-d , which generalizes the linear one, and we give a necessary and sufficient condition for its solvabiliy. We show how the linear equation can be considered as a particular case of the nonlinear equation.

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Massimo Salvi. 2016-07-07. On a Kind of Nonlinear Diophantine Equation. https://doi.org/10.17654/nt040050757

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