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math.AC2006
An Elementary Proof of Sylvester's Double Sums for Subresultants
Carlos D'Andrea, Hoon Hong, Teresa Krick +1
In 1853 Sylvester stated and proved an elegant formula that expresses the polynomial subresultants in terms of the roots of the input polynomials. Sylvester's formula was also rece…
math.NT2006
Factoring bivariate sparse (lacunary) polynomials
Martin Avendano, Teresa Krick, Martin Sombra
We present a deterministic algorithm for computing all irreducible factors of degree of a given bivariate polynomial over an algebraic number field and th…