IJPAM: Volume 94, No. 4 (2014)

SOLVING LINEAR DIOPHANTINE EQUATION
$m{n^2}x + q{m^2}y = p{m^2}{n^3}$
BY A FINITE CONTINUED FRACTION

P. Haarsa
Department of Mathematics
Srinakharinwirot University
Bangkok, 10110, THAILAND


Abstract. In this paper, we show that $(x,y)$ is a positive integer solution under some conditions where $m, n, p$ and $q$ are prime numbers for the linear Diophantine equation $m{n^2}x + q{m^2}y = p{m^2}{n^3}$ by a finite continued fraction.

Received: May 4, 2014

AMS Subject Classification: 11D61

Key Words and Phrases: linear Diophantine equation

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DOI: 10.12732/ijpam.v94i4.14 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 94
Issue: 4
Pages: 583 - 588

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).