Some results on counting roots of polynomials and the Sylvester resultant.
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020).

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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.
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     author = {Monagan, Michael and Tuncer, Baris},
     title = {Some results on counting roots of polynomials and the {Sylvester} resultant.},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)},
     year = {2020},
     doi = {10.46298/dmtcs.6371},
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     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6371/}
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Monagan, Michael; Tuncer, Baris. Some results on counting roots of polynomials and the Sylvester resultant.. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020). doi : 10.46298/dmtcs.6371. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6371/

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