On a Kind of Nonlinear Diophantine Equation
Number Theory
2019-03-26 v1
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.
Keywords
Cite
@article{arxiv.1607.03097,
title = {On a Kind of Nonlinear Diophantine Equation},
author = {Massimo Salvi},
journal= {arXiv preprint arXiv:1607.03097},
year = {2019}
}
Comments
12 pages