Bornes effectives des fonctions dapproximation des solutions formelles déquations binomialesReport as inadecuate



 Bornes effectives des fonctions dapproximation des solutions formelles déquations binomiales


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The aim of this paper is to give an effective version of the Strong Artin Approximation Theorem for binomial equations. First we give an effective version of the Greenberg Approximation Theorem for polynomial equations, then using the Weierstrass Preparation Theorem, we apply this effective result to binomial equations. We prove that the Artin function of a system of binomial equations is bounded by a doubly exponential function in general and that it is bounded by an affine function if the order of the approximated solutions is bounded.



Author: Guillaume Rond

Source: https://archive.org/







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