%0 Journal Article %A Shalom Eliahou %A Jean-Louis Verger-Gaugry %T The number system in rational base $3/2$ and the $3x+1$ problem %J Comptes Rendus. Mathématique %D 2025 %P 329-336 %V 363 %I Académie des sciences, Paris %R 10.5802/crmath.662 %G en %F CRMATH_2025__363_G4_329_0