摘要
本文证明了以下主要结果:对于丢番图方程除开x_j=0(j=1,…,n)外,无其他的整数解,这里p是一个奇素数,满足p=1(mod 3)或p=1(mod 4)
In this paper, we prove the following theorem and its corollary.Theorem. Let take the values 0,+l independently, if the integer 9 apart from and if one of following conditions-2) andthen equationhas only the zero solution Xj=0(j=1,n) over the finite field Ft, wherc 1, -, n), the Fp is a multiplicative group of F,.Cor. Under the same conditions as in the theorem, the Diophantine equationhas no Integral solutions apart from xj=0 (j=1, -, n).
出处
《四川大学学报（自然科学版）》
CAS
CSCD
1989年第2期159-162,共4页
Journal of Sichuan University(Natural Science Edition)
基金
国家自然科学基金
关键词
丢番图方程
对角方程
有限域
Diophantine equation, integral solution, finite field, diagonal equation, multiplicative group.
