On the structure of ($-β$)-integers

Details On the structure of ($-β$)-integers On the structure of ($-β$)-integers

2010-11-08

arxiv.org/abs/1011.1755v2

RAIRO - Theoretical Informatics and Applications 46, 1 (2012) 181-200

Mathematics

Number Theory

Scientific paper

10.1051/ita/2011115

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

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