摘要
F是pk 元域 ,n是正整数 ,xn -1 +axn -2 +… +an -2 x +an -1 =0 (a≠ 0 )是F上的方程。该文给出该方程在F中的根 :(n ,pk- 1 ) - 1个单根 ,或 (n ,pk- 1 )组互不相同的重根 ,或没有根 ;
The F ?is a field with p k element. The n is a positive interger.The ∑ n-1 0a ix n-1-i =0 (a≠0)is an equation over F.In this paper, the author gives the roots of this equation in F,that is, it has ( n,p k-1)-1 single roots or (n,p k-1) distinct groups of repeated roots,or it has no roots.Then the methods and examples to find roots are given.
出处
《广西师范学院学报（自然科学版）》
2003年第4期29-31,共3页
Journal of Guangxi Teachers Education University(Natural Science Edition)
关键词
P^K元域
方程的根
单根
重根
field with p k elements
root of equation
single root
repeated root
