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On the <i>β</i>-Expansion of an Algebraic Number in an Algebraic Base <i>β</i>

On the <i>β</i>-Expansion of an Algebraic Number in an Algebraic Base <i>β</i>

Abstract Let α in (0, 1] and β &gt; 1 be algebraic numbers. We study the asymptotic behaviour of the function that counts the number of digit changes in the β -expansion of α .