关于根幂为根的多项式

Pol ynomials with roots that are powers of roots of other pol ynomials

设 n次多项式 f( x)的 n个根为 a1,a2 ,… ,an,k为正整数 ,设 φ( x)的 n个根为 a1k,a2 k,… ,ank,本文得到了 φ( x)

Let f(x) be a n-ordered polynomial with roots a 1, a 2,…,a n ,and let k be positive integer. Let φ(x)be a polynomial with roots a k 1,a k 2,…,a k n . Then two experessions of φ(x)are given.