Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 5
Algorithm to solve certain ternary quartic Diophantine equations
- Pages
- 733–738
- DOI
- —
Abstract
In this paper, we develop an algorithm to solve completely the Diophantine equation F(x,y)=z2, where the quartic inhomogeneous polynomial F(x,y) with integer coefficients satisfies certain technical conditions. The procedure is an extension of the version of Runge's method given by Poulakis.
Özet
In this paper, we develop an algorithm to solve completely the Diophantine equation F(x,y)=z2, where the quartic inhomogeneous polynomial F(x,y) with integer coefficients satisfies certain technical conditions. The procedure is an extension of the version of Runge's method given by Poulakis.