多元整系数多项式因式分解的一种理论和算法

A Theory and Algorithm for Factoring Multivariate Polynomials with Integral Coefficients

本文将t(t是大于2的整数)元整系数多项式看成为系数为t—2元整系数多项式的二元多项式,建立了多元整系数多项式因式分解的一种新理论,进而得到了分解多元整系数多项式的一个有力的算法。

This paper regards a polynomials in t variables (t is an integral numbe and greater than 2) with integral coefficients as a birariate polynomial with polynomials in t-z variables with integral coefficients as its coefficients. We found a new theory of factorization of multivariate polynomials with integral coefficients. Furthermore,a strong algorithm is constructed for factoring multivariate polynonials with integral coefficients.