Sur les ensembles d'entiers reconnaissables
Durand, Fabien
HAL, hal-00201163 / Harvested from HAL
Text on HAL
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.
Publié le : 1998-07-05
Classification:  cobham,  substitution,  numeration system,  11B85,  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT],  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] 
@article{hal-00201163,
     author = {Durand, Fabien},
     title = {Sur les ensembles d'entiers reconnaissables},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00201163}
}

Durand, Fabien. Sur les ensembles d'entiers reconnaissables. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00201163/