关于确定θ2极小多项式的几个定理

Several Theorems on Determining the Minimal Polynomial of θ~2

在已有定理的基础上,巧妙地利用初等数论的方法,得出在一些特定情况下由θ的极小多项式求得θ2的极小多项式的几个相关定理.这些定理对于确定域的判别式以及整基有重要作用.

Based on the existing theorems,in some certain cases,this paper uses the method of elementary number theory to obtain several related theorems of the minimal polynomial of θ2got from the minimal polynomial ofθ. These theorems play an important role to determine the discriminant and integer matrix of domain.