Publisher : Department of Mathematics, Kyungpook National University
DOI : 10.5666/KMJ.2015.55.3.587
Title & Authors
The Diophantine Equation ax6 + by3 + cz2 = 0 in Gaussian Integers IZADI, FARZALI; KHOSHNAM, FOAD;
In this article, we will examine the Diophantine equation , for arbitrary rational integers a, b, and c in Gaussian integers and find all the solutions of this equation for many different values of a, b, and c. Moreover, two equations of the type , and are also discussed, where i is the imaginary unit and w is a third root of unity.