Mu Yong. THE INTEGER SOLUTION TO THE LINEAR INDEFINITE EQUATION IN S VARIABLES (S≥2). [J]. Journal of University of Jinan(Social Science Edition) (1):58-63(1997)
Mu Yong. THE INTEGER SOLUTION TO THE LINEAR INDEFINITE EQUATION IN S VARIABLES (S≥2). [J]. Journal of University of Jinan(Social Science Edition) (1):58-63(1997)DOI:
THE INTEGER SOLUTION TO THE LINEAR INDEFINITE EQUATION IN S VARIABLES (S≥2)
摘要
设S≥2
S元一次不定方程是指a
1
x
1
十a
2
x
2
十…十a
s
x
s
=n其中a
i
(i=1
2
…
s)与n都是给定的整数
a
1
a
2
…a
s
≠0.本又通过S元a
1
a
2
…
a
5
的辗转相除法
给出上式的整数解的结构公式.
Abstract
Supposing there is S≥2
the linear indefinite equation in S variables refers to the following form: a1x1 + a2x2 +…+ ascs = n
in which ai (i = 1
2
…
s ) and n are given integral numbers
a1 a2… as ≠0. This paper provides a structural formula of integer solution for the above form by means of division algorithm of S variables a1
a2
…
as.
关键词
不定方程解向量最大公因式
Keywords
indefinite equationsolution vectorgreatest common factor