摘要
获得了幂和丢番图方程S_5(x)=yn有正整数解的充要条件:得到了当n=2时该方程有无穷多组正整数解的解集公式;证明了当n=3和n≥4为偶数时,该方程仅有解(x,y)=(1.1).
The necessary and sufficient condition that the sum of equal powers and Diophantine equaion S5(x) =yn have positive integer solutions are presented. The equation has general purpose formula for n=2 and the eguation an only solution (x, y) = (1, 1) for n = 3 and n≥4 (n is even number)
出处
《江汉大学学报》
2000年第3期79-82,共4页
Journal of Jianghan University
关键词
等幂和
丢番图方程
Bowen猜想
正整数解
sum of equal powers
sch■ffer conjectvre
diophantine equations
bowen conjectvre