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arXiv · 0709.1560

On two notions of complexity of algebraic numbers

Yann Bugeaud·Jan-Hendrik Evertse
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Abstract

we derive new, improved lower bounds for the block complexity of an irrational algebraic number and for the number of digit changes in the b-ary expansion of an irrational algebraic number. To this end, we apply a quantitative version of the Subspace Theorem due to Evertse and Schlickewei (2002).

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Yann Bugeaud, Jan-Hendrik Evertse. 2007-09-11. On two notions of complexity of algebraic numbers. https://doi.org/10.4064/aa133-3-3

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