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arXiv · 1312.7203

Approximation of an algebraic number by products of rational numbers and units

Claude Levesque·Michel Waldschmidt
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Abstract

We relate a previous result of ours on families of Diophantine equations having only trivial solutions with a result on the approximation of an algebraic number by products of rational numbers and units. We compare this approximation with a Liouville type estimate, and with an estimate arising from a lower bound for a linear combination of logarithms.

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Claude Levesque, Michel Waldschmidt. 2013-12-27. Approximation of an algebraic number by products of rational numbers and units. https://arxiv.org/abs/1312.7203

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