ON A KIND OF NONLINEAR DIOPHANTINE EQUATION
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.
linear Diophantine equation, nonlinear Diophantine equation, determinant, greatest divisor of a matrix.