Some results on counting roots of polynomials and the Sylvester resultant
Combinatorics
2016-09-29 v1 Discrete Mathematics
Symbolic Computation
Abstract
We present two results, the first on the distribution of the roots of a polynomial over the ring of integers modulo 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.
Keywords
Cite
@article{arxiv.1609.08712,
title = {Some results on counting roots of polynomials and the Sylvester resultant},
author = {Michael Monagan and Baris Tuncer},
journal= {arXiv preprint arXiv:1609.08712},
year = {2016}
}
Comments
Presented at FPSAC 2016, Vancouver, Canada, 2016