On the structure of (−β-β)-integers

preprint2011arXivOpen access

Abstract

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

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