Bounds for the Multiplicities of the Irreducible Factors of a Multivariate Polynomial
Anca Iuliana Bonciocat, Nicolae Ciprian Bonciocat, Alexandru Zaharescu · Communications in Algebra · 2011
We provide explicit upper bounds for the multiplicities of the irreducible factors for some classes of polynomials in two variables X, Y over a field K, regarded as polynomials in Y with coefficients in K[X] whose degrees satisfy certain inequalities. We then obtain similar results for polynomials in an arbitrary number of variables over K.