关于丢番图方程（a^2－b^2）~x＋（2ab）~y＝（a^2＋b^2）~z

On the Diophantine Equation(a￣2-b￣2)￣x+(2ab)￣y=(a￣2+b￣2)￣z

证明了Ｊｅｓｍａｎｏｗｉｃｚ猜想在一些特殊情形成立，改进了［１］和［２］的部分结果。

The conjecture of Jesmanowicz holds truce in some special cases, the results of the papers [1] and [2] are improved.