Effective Irrationality Measures and Approximation by Algebraic Conjugates
Number Theory
2012-02-01 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1001.3381,
title = {Effective Irrationality Measures and Approximation by Algebraic Conjugates},
author = {Paul Voutier},
journal= {arXiv preprint arXiv:1001.3381},
year = {2012}
}
Comments
14 pages