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

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.

preprint2010arXivOpen access
Samy KhémiraPaul Voutier
math.NT
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Samy KhémiraPaul Voutier

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