摘要
利用初等方法给出了丢番图方程px4-(p-4)y2=4z4当p=Q2+4为奇素数时的全部正整数解,从而拓展了Mordell等学者关于ax4+by4=cz2的结果.
When p=Q^2＋4, p is odd prime, we give all positive integer solutions to the Diophantine equation px^4- （p-4）y^2= 4z^4 by the elementary methods. Thereby we have developed the result of equation ax^4＋ by^4=cz^2 which was studied by Mordell etc.
出处
《海南师范大学学报（自然科学版）》
CAS
2013年第4期376-380,共5页
Journal of Hainan Normal University（Natural Science）
关键词
丢番图方程
正整数解
两两互素
diophantine equation
positive integer solution
prime to each other
