@article{CRMATH_2025__363_G4_329_0, author = {Shalom Eliahou and Jean-Louis Verger-Gaugry}, title = {The number system in rational base~$3/2$ and the $3x+1$ problem}, journal = {Comptes Rendus. Math\'ematique}, pages = {329--336}, year = {2025}, publisher = {Acad\'emie des sciences, Paris}, volume = {363}, doi = {10.5802/crmath.662}, language = {en}, }