Title of article :
MASON-STOTHERS THEOREM and PERFECT BINARY POLYNOMIALS
Author/Authors :
Gallardo, Luis H. Laboratoire de Math´ematiques de Bretagne Atlantique - Univ Brest - UMR CNRS, Av. Le Gorgeu, France
Abstract :
We prove that there is no perfect binary polynomial R that is the
sum of two appropriate powers, besides, possibly R = P +1 with P irreducible.
The proofs follow from analogue results involving the ABC-theorem for polynomials and a classical identity.
Keywords :
Polynomial ABC-theorem , binary polynomial , perfect polynomial
Journal title :
International Electronic Journal of Algebra