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math.CO2016
Some results on counting roots of polynomials and the Sylvester resultant
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 and the second on the distribution of the roots of the Sylve…
cs.SC2016
A Modular Algorithm for Computing Polynomial GCDs over Number Fields presented with Multiple Extensions
Mark van Hoeij, Michael Monagan
We consider the problem of computing the monic gcd of two polynomials over a number field L = Q(alpha_1,...,alpha_n). Langemyr and McCallum have already shown how Brown's modular G…