APPROXIMATION OF AN ALGEBRAIC NUMBER BY PRODUCTS OF RATIONAL NUMBERS AND UNITS CLAUDE LEVESQUE and MICHEL WALDSCHMIDT
نویسنده
چکیده
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, on the one hand with a Liouville type estimate, on the other hand with an estimate arising from a lower bound for a linear combination of logarithms. American Mathematical Society 2010 Mathematics subject classification: 11D59, 11J87, 11J68, 11J86, 11J17
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