Some results on counting roots of polynomials and the Sylvester resultant.

Michael Monagan (1) , Baris Tuncer (1)

1 SFU - Department of Mathematics [Burnaby]

We present two results, the first on the distribution of the roots of a polynomial over the ring of integers modulo n and the second on the distribution of the roots of the Sylvester resultant of two multivariate polynomials. The second result has application to polynomial GCD computation and solving polynomial diophantine equations.

Mots clés: Combinatorics

Domaines: Combinatoire [math.CO]

Michael Monagan, Baris Tuncer. Some results on counting roots of polynomials and the Sylvester resultant.. 28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada. ⟨10.46298/dmtcs.6371⟩. ⟨hal-02166349⟩