求解Diophantine方程x^2+y^3=z^4的一种简便方法

One Simple Method on the Solution of Diophantine Equation x^2+y^3=z^4

本文通过对Diophantioe方程x^2-y^2=4z^3解的存在性的讨论,给出了求解Diophaotine方程x^2+y^2=z^4的一种简便可行的方法。

abstract The author discussed the solution of Diophantine equation x^2-y^2 =4z^3.In this paper,and as a result,feasible method which solved Diophantine equation x^2+y^3=z^4 was proposed