关于丢番图方程px^4-(p-1)y^2=z^4

On Diophantine Equation px^4-(p-1)y^2=z^4

利用初等方法给出了丢番图方程px4-(p-1)y2=z4当p-1=Q2时的全部正整数解,从而推广了张跃辉关于3x4-2y2=z4的结果.

When p - 1= Q^2, all positive integer solutions to the Diophantine equation px^4 - （p - 1 ）y^2 = z^4 are given with the elementary method. Thus we have generalized the results of equation 3x^4 - 2y^2 = z^4 by ZHANG Yue-hui.