Work

On a Kind of Nonlinear Diophantine Equation

Year: 2018

Type: article

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.

Source: JP Journal of Algebra Number Theory and Applications

DOI: 10.17654/nt040050757

Author: Massimo Salvi

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2467350631

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Cited by: 1

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