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arXiv:1001.3381 [math.NT]AbstractReferencesReviewsResources

Effective Irrationality Measures and Approximation by Algebraic Conjugates

Paul Voutier

Published 2010-01-19, updated 2010-09-30Version 2

In this paper, we present a result on using algebraic conjugates to form a sequence of approximations to an algebraic number, and in this way obtain effective irrationality measures for related algebraic numbers. From this result, we are able to generalise Thue's Fundamentaltheorem.

Comments: 14 pages
Journal: Acta Arith. 149 (2011), 131-143
Categories: math.NT
Subjects: 11J82, 11J68
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