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arXiv · 1712.07952

Construction de nombres extr\'emaux pour le probl\`eme de l'approximation simultan\'ee d'un nombre et de son carr\'e

Samuel Pilon·Damien Roy
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Abstract

We consider the problem of simultaneous approximation to a number and to its square in a general framework that encompasses imaginary quadratic number fields and fields of rational functions in one variable. In this context, we construct new extremal numbers.

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Samuel Pilon, Damien Roy. 2017-12-21. Construction de nombres extr\'emaux pour le probl\`eme de l'approximation simultan\'ee d'un nombre et de son carr\'e. https://arxiv.org/abs/1712.07952

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