JP Journal of Algebra, Number Theory and Applications
Volume 40, Issue 5, Pages 757 - 773
(October 2018) http://dx.doi.org/10.17654/NT040050757 |
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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 We deal with the nonlinear Diophantine equation which generalizes the linear one, and we give a necessary and sufficient condition for its solvability. We show how the linear equation can be considered as a particular case of the nonlinear equation. |
Keywords and phrases: linear Diophantine equation, nonlinear Diophantine equation, determinant, greatest divisor of a matrix.
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