On two notions of complexity of algebraic numbers
Number Theory
2023-09-19 v1
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).
Keywords
Cite
@article{arxiv.0709.1560,
title = {On two notions of complexity of algebraic numbers},
author = {Yann Bugeaud and Jan-Hendrik Evertse},
journal= {arXiv preprint arXiv:0709.1560},
year = {2023}
}
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31 pages