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Turkish Journal of Mathematics

Authors

LASZLO SZALAY

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

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