초록(영문)
In this paper, we introduce the methods of finding solutions of cubic Pel equations
x³+dy³+d²z³-3dxyz=1, which is an open problem in number theory. We apply the method of
solving Norm Form Diophantine equations, since al cubic Pel equations are a kind of Norm
Form Diophantine equations. We first discus our new method of finding fundamental
solutions of cubic Pel equations. Then we wil show that some cases of cubic Pel equations
are easier than others to find fundamental solutions, and what forms have in those easy
cases. We wil also discus how we find solutions of cubic Pel equations using solutions of
other cubic Pel equations. In the third section we wil discus the relationship betwen
Delaunay-Nagel Equations and cubic Pel equations, and which and how Delaunay-Nagel
Equations can be used on solving cubic Pel equations.