系数对称与系数反对称多项式的性质及其应用

Properties and Applications of Coefficients Symmetric Polynomials and Coefficients Antisymmetric Polynomials

讨论系数对称、系数反对称多项式,得到它们一些有用的性质及其根的刻画,作为1个特别的应用,给出了1个与Eisenstein判别法平行的判别法.

In this paper,the author gives several important properties and roots description of coefficients symmetric polynomials and coefficients antisymmetric polynomials.As a particular application,a parallel theorem of Eisenstein's test is obtained.