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.Article

Authors: Michael Monagan 1; Baris Tuncer 1

  • 1 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.

https://doi.org/10.46298/dmtcs.6371
Source: HAL:hal-02166349v1
Volume: DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
Published on: April 22, 2020
Imported on: July 4, 2016
Keywords: Combinatorics,[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]

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