Turkish Journal of Mathematics
Abstract
In this paper, we develop an algorithm to solve completely the Diophantine equation F(x,y)=z^2, 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.
DOI
10.3906/mat-1204-40
Keywords
Diophantine equation, Runge method, inhomogeneous ternary equation
First Page
733
Last Page
738
Recommended Citation
SZALAY, L (2013). Algorithm to solve certain ternary quartic Diophantine equations. Turkish Journal of Mathematics 37 (5): 733-738. https://doi.org/10.3906/mat-1204-40