On the structure of ($-\beta$)-integers

Wolfgang Steiner (1)

1 LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications

The $(-\beta)$-integers are natural generalisations of the $\beta$-integers, and thus of the integers, for negative real bases. When $\beta$ is a $(-\beta)$-number, which is the analogue of a Parry number, we describe their structure by a fixed point of an anti-morphism.

Domaines: Théorie des nombres [math.NT]; Mathématique discrète [cs.DM]

Wolfgang Steiner. On the structure of ($-\beta$)-integers. 2010. ⟨hal-00533345v1⟩