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Periodic expansion of one by Salem numbers
Published online by Cambridge University Press: 14 October 2022
Abstract
We show that for a Salem number $\beta $ of degree d, there exists a positive constant $c(d)$ where $\beta ^m$ is a Parry number for integers m of natural density $\ge c(d)$. Further, we show $c(6)>1/2$ and discuss a relation to the discretized rotation in dimension $4$.
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- © The Author(s), 2022. Published by Cambridge University Press
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