Equidistribution of digits in powers and Diophantine approximations

Abstract

Given integers $a,b>1$ with ${\log }_{b}a$ irrational, we investigate the connection between the conjectured asymptotic equidistribution of digits in the base-$b$ expansion of $a^n$ and the (non-)Diophantine properties of the number ${\theta }_{a,b}={\log }_{b}a$.

arXiv commentThis paper has been withdrawn by the authors because its main result becomes trivial due to a much simpler argument

Cited by in corpus (1)

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