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arXiv · 1001.1766

Approximation diophantienne et approximants de Hermite-Padé de type I de fonctions exponentielles

Samy Khémira·Paul Voutier
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Abstract

En utilisant des approximants de Hermite-Padé de fonctions exponentielles, ainsi que des déterminants d'interpolation de Laurent, nous minorons la distance entre un nombre algébrique et l'exponentielle d'un nombre algébrique non nul. ----- We use Hermite-Padé approximants of exponential functions along with Laurent's interpolation determinants to obtain lower bounds for the distance between an algebraic number and the exponential of another non-zero algebraic number.

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Samy Khémira, Paul Voutier. 2010-01-11. Approximation diophantienne et approximants de Hermite-Padé de type I de fonctions exponentielles. https://arxiv.org/abs/1001.1766

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