On the β-Expansion of an Algebraic Number in an Algebraic Base β

Let in (0, 1] and > 1 be algebraic numbers. We study the asymptotic behaviour of the function that counts the number of digit changes in the -expansion of

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Bibliographic Details
Published inIntegers (Berlin, Germany) Vol. 9; no. 3; pp. 215 - 226
Main Author Bugeaud, Yann
Format Journal Article
LanguageEnglish
Published Walter de Gruyter GmbH & Co. KG 01.08.2009
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Summary:Let in (0, 1] and > 1 be algebraic numbers. We study the asymptotic behaviour of the function that counts the number of digit changes in the -expansion of
ISSN:1867-0652
DOI:10.1515/INTEG.2009.021