Characterizations for solutions of certain classes of Non-linear Diophantine equations

Anteneh Tilahun; G.Venkat Reddy

doi:https://doi.org/10.14445/22315373/IJMTT-V42P512

International Journal of Mathematics Trends and Technology

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Volume 42 | Number 2 | Year 2017 | Article Id. IJMTT-V42P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V42P512

Characterizations for solutions of certain classes of Non-linear Diophantine equations

Anteneh Tilahun, G.Venkat Reddy

Abstract

The main aim of this paper is to introduce a method, to solve certain class of non-homogenous non-Linear Diophantine equations and investigate various properties using the well-known Euler’s theorem and the theory of congruence. Some of the interesting special cases of our main results have been discussed.

Keywords

Diophantine Equations, Non-linear Diophantine equations, Euler phi-function, Euler’s theorem

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Citation :

Anteneh Tilahun, G.Venkat Reddy, "Characterizations for solutions of certain classes of Non-linear Diophantine equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 42, no. 2, pp. 78-82, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V42P512