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Turkish Journal of Mathematics

DOI

10.3906/mat-1704-119

Abstract

Let $\beta>1$ be a real number. For any $x\in[0,1]$, let $r_{n}(x,\beta)$ be the maximal length of consecutive zero digits in the first $n$ digits of the $\beta$-expansion of $x$. In this note, it is proved that for any $0

First Page

656

Last Page

665

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