On two notions of complexity of algebraic numbers
Yann Bugeaud, Jan‐Hendrik Evertse · Acta Arithmetica · 2008
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.