Factoring bivariate sparse (lacunary) polynomials

We present a deterministic algorithm for computing all irreducible factors of degree ≤ d of a given bivariate polynomial f ∈ K[x, y] over an algebraic number field K and their multiplicities, whose running time is polynomial in the bit length of the sparse encoding of the input and in d . Moreover, we show that the factors over Q of degree ≤ d which are not binomials can also be computed in time polynomial in the sparse length of the input and in d .

• Type: Journal
• Year: 2007
• Where: JC
• Authors: Martin Avendano, Teresa Krick, Martín Sombra
• Keywords: Bivariate Polynomial, Irreducible Factors, JC 2007, Polynomial