%0 Journal Article
%T Sur les ensembles d'entiers reconnaissables
%A Fabien Durand
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0801.0556v1