摘要
不定方程x~2+y~2=m的整数解问题,在文[1]中有过详细讨论。作者仅用整除及同余知识,从另一种角度对这一问题详细进行了讨论及推证,并得到了什么样的整数可表示为两个整数平方和及其表法唯一性的问题。
The problem in integer solution for indeterminate equation x^2 + y^2 = m has been discussed in [l] In this paper, the problem is discussed and demonstrated with the knowl- edge of exact division and congruence from another angle. Which can give an answer and proof to the question of what integer can express two integer square sums and the uniqueness of expression.
出处
《重庆师范大学学报(自然科学版)》
CAS
2000年第S1期99-102,共4页
Journal of Chongqing Normal University:Natural Science
关键词
同余
不定方程
整除
平方和
congruence
indeterminate equation
exact division
square sum