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JSC
2010
13 years 7 months ago
2010
Let f(X, Y ) ∈ Z[X, Y ] be an irreducible polynomial over Q. We give a Las Vegas absolute irreducibility test based on a property of the Newton polytope of f, or more precisely,...
JSC
2008
13 years 8 months ago
2008
We describe algorithms for solving a given system of multivariate polynomial equations via the Rational Univariate Reduction (RUR). We compute the RUR from the toric resultant of ...
JSC
2008
13 years 8 months ago
2008
We outline PARI programs which assist with various algorithms related to descent via isogeny on elliptic curves. We describe, in this context, variations of standard inequalities w...
JSC
2008
13 years 7 months ago
2008
We compute the singular points of a plane rational curve, parametrically given, using the implicitization matrix derived from the -basis of the curve. It is shown that singularity...
JSC
2008
13 years 8 months ago
2008
We describe the design, implementation and experimental evaluation of new algorithms for computing the approximate factorization of multivariate polynomials with complex coefficie...