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Ensembles d'unicite pour les polynomes (Sets of Uniqueness for polynomials)

Tien-Cuong Dinh
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Abstract

Let E be a compact set of C of positive logarithmic capacity. Let us suppose that for every polynomial $P\not=id$ we have $P^{-1}(E)\not=E$. Then for all no constant polynomials f and g such that $f^{-1}(E)=g^{-1}(E)$ we have f=g.

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BibTeXRIS

Tien-Cuong Dinh. 2000-03-01. Ensembles d'unicite pour les polynomes (Sets of Uniqueness for polynomials). https://arxiv.org/abs/math/0003005

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