Sur les ensembles d'entiers reconnaissables

Details Sur les ensembles d'entiers reconnaissables Sur les ensembles d'entiers reconnaissables

2008-01-03

arxiv.org/abs/0801.0556v1

Journal de Th\'eorie des Nombres de Bordeaux 10 (1998) 65-84

Mathematics

Number Theory

Scientific paper

Let U and V be two Bertrand numeration systems, and, a and b the two Parry
numbers there are naturally associated with. Suppose they are multiplicatively
independent. We prove that, if E is a subset of positive integers which is both
U and V recognizable, then E is a finite union of arithmetical progressions.

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