Michael Monagan ; Baris Tuncer - Some results on counting roots of polynomials and the Sylvester resultant.

dmtcs:6371 - Discrete Mathematics & Theoretical Computer Science, April 22, 2020, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) - https://doi.org/10.46298/dmtcs.6371
Some results on counting roots of polynomials and the Sylvester resultant.

Authors: Michael Monagan ; Baris Tuncer

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.


Volume: DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
Published on: April 22, 2020
Submitted on: July 4, 2016
Keywords: Combinatorics,[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]


Share

Consultation statistics

This page has been seen 36 times.
This article's PDF has been downloaded 68 times.