Ore Principal Subresultant Coefficients in Solutions

Abstract.

The principal subresultant coefficients of polynomials play a fundamental role in elimination theory and computer algebra. Recently they have been extended to Ore polynomials. They are defined by an expression in the coefficients of Ore polynomials. In this paper, we provide another expression for them. This expression is written in terms of the “solutions” of Ore polynomials (in “generic” case). It can be viewed as a generalization of the well known expression for resultants of two commutative polynomials: the product of the pair-wise differences of their roots.