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Approximation of an algebraic number by products of rational numbers and units (1312.7203v1)
Published 27 Dec 2013 in math.NT
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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