On powers of polynomials

Rodney Coleman (1) , Laurent Zwald (2)

1 CASYS - Calculs Algébriques et Systèmes Dynamiques
2 SAM - Statistique Apprentissage Machine

In this paper we show that, under certain conditions, when the coefficients of a power of a polynomial over a field lie in a subfield, then the coefficients of the polynomial itself lie in the subfield.

Mots clés: Powers of polynomials

Domaines: Anneaux et algèbres [math.RA]

Rodney Coleman, Laurent Zwald. On powers of polynomials. 2014. ⟨hal-01001707⟩