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On the structure of(−β)-integers

Published online by Cambridge University Press:  07 October 2011

Wolfgang Steiner
Wolfgang Steiner*
Affiliation:
LIAFA, CNRS, Université Paris Diderot – Paris 7, Case 7014, 75205 Paris Cedex 13, France.. steiner@liafa.jussieu.fr

Abstract

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The (−β)-integers are natural generalisations of theβ-integers, and thus of the integers, for negative real bases. Whenβ is the analogue of a Parry number, we describe the structure of theset of (−β)-integers by a fixed point of an anti-morphism.

Keywords

Beta expansionParry numberbeta-integermorphismsubstitution

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