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APPROXIMATION OF AN ALGEBRAIC NUMBER BY PRODUCTS OF RATIONAL NUMBERS AND UNITS
Published online by Cambridge University Press: 07 February 2013
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.
Keywords
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 93 , Issue 1-2 , October 2012 , pp. 121 - 131
- Copyright
- Copyright ©2013 Australian Mathematical Publishing Association Inc.
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