1 citations · 1 across the 2 of their papers we have counts for
3 papers
Apollonius circles and the number of irreducible factors of polynomials
Anca Iuliana Bonciocat, Nicolae Ciprian Bonciocat, Yann Bugeaud +2
We provide upper bounds for the sum of the multiplicities of the non-constant irreducible factors that appear in the canonical decomposition of a polynomial ,…
Apollonius circles and irreducibility criteria for polynomials
Anca Iuliana Bonciocat, Nicolae Ciprian Bonciocat, Yann Bugeaud +1
We prove the irreducibility of integer polynomials whose roots lie inside an Apollonius circle associated to two points on the real axis with integer abscisae and , w…
Irreducibility results for compositions of polynomials in several variables
Anca Iuliana Bonciocat, Alexandru Zaharescu
We obtain explicit upper bounds for the number of irreducible factors for a class of compositions of polynomials in several variables over a given field. In particular, some irredu…