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On purely periodic beta-expansions of Pisot numbers
Published online by Cambridge University Press: 22 January 2016
Abstract
We characterize numbers having purely periodic β-expansions where β is a Pisot number satisfying a certain irreducible polynomial. The main tool of the proof is to construct a natural extension on a d-dimensional domain with a fractal boundary.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2002
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