摘要
本文利用初等方法给出了丢番图议程ｘ￣４＋ｙ￣４＝ｃｚ￣４有适合（ｘ，ｙ）＝１的正整数解时ｃ必须满足的一些条件；且当ｃ＜１０３时，除开Ｃ＝２２６，５６２，５７７，９７７以外，此方程是否有正整数解均得到解决。
In this paper, we give, by elementary method, some necessary conditions ifthe Diophantine equation x￣4+y￣4=cz￣4 has positive integer solutions that fit (x, y) = lc.when c< 10￣3,except c= 226, 562, 577, 977, the problem of this equation whether haspositive integer solution is solved.
出处
《黑龙江大学自然科学学报》
CAS
1994年第4期6-10,共5页
Journal of Natural Science of Heilongjiang University
关键词
丢番图方程
正整数解
Diophantine equation
Positive integer solutions
