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

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