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20082026
most citedComputation of Darboux polynomials and rational first integrals with bounded degree in polynomial time

23 citations · 45 across the 17 of their papers we have counts for

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Showing 2009Show all

2 papers · 1 filter

math.AG2009

Modular Las Vegas Algorithms for Polynomial Absolute Factorization

Cristina Bertone, Guillaume Chèze, André Galligo

Let $f(X,Y) \in \ZZ[X,Y]$ be an irreducible polynomial over $\QQ$. We give a Las Vegas absolute irreducibility test based on a property of the Newton polytope of , or more preci…

math.NT2009★ 2 cited

Noether's forms for the study of non-composite rational functions and their spectrum

Laurent Busé, Guillaume Chèze, Salah Najib

In this paper, the spectrum and the decomposability of a multivariate rational function are studied by means of the effective Noether's irreducibility theorem given by Ruppert. Wit…