Sur les ensembles d'entiers reconnaissables
classification
🧮 math.NT
math.CO
keywords
arithmeticalassociatedbertrandensemblesentiersfiniteindependentintegers
read the original abstract
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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