Effective Irrationality Measures and Approximation by Algebraic Conjugates

Details Effective Irrationality Measures and Approximation by Algebraic Conjugates Effective Irrationality Measures and Approximation by Algebraic Conjugates

2010-01-19

arxiv.org/abs/1001.3381v2

Acta Arith. 149 (2011), 131-143

Mathematics

Number Theory

14 pages

Scientific paper

10.4064/aa149-2-3

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.

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