关于整系数多项式的一个不可约性定理

On an Irreducibility Theorem of a Polynomial with Intergral Coeffcient

本文从Plya和Szego定理出发,得到了整系数多项式的不可约性的一个结果,其特点是对于Plya和Szeg定理中的多项式f(x)的系数所表示的整数b的下界要求的更小。利用这个结果可以证明Plya和Szeg定理的一个有趣的特例即本文的推论。

In this paper an irreducibility result is obtained, whith was derived from theorem of Plya and Szeg. The new feature in this result is the lower bound for the integer b in theorem of Pólya and Szeg which is computed from the coeffcient of f(x). This theorem is then used to prove an interesting example about theorem of Plya and Szeg that is corollary in this paper.