Yann Bugeaud, Jan‐Hendrik Evertse
Abstract
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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 version of the Quantitative Subspace Theorem by Evertse and Schlickewei [14], Theorem 2.1.
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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 version of the Quantitative Subspace Theorem by Evertse and Schlickewei [14], Theorem 2.1.
Key concepts: Irrational number, Mathematics, Algebraic number, Block (permutation group theory), Subspace topology, Discrete mathematics, Algebra over a field, Arithmetic