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A Fast Algorithm for Computing the Truncated Resultant

A Fast Algorithm for Computing the Truncated Resultant

Let P and Q be two polynomials in K[x,y] with degree at most d, where K is a field. Denoting by R ∈ K[x] the resultant of P and Q with respect to y, we present an algorithm to compute R mod xk in O~(kd) arithmetic operations in K, where …