@misc{EliahouVergerGaugry2025,
  author    = {{Shalom Eliahou and Jean-Louis Verger-Gaugry}},
  title     = {{The number system in rational base $3/2$ and the $3x+1$ problem}},
  year      = {{2025}},
  url       = {{https://arxiv.org/abs/2504.13716}},
  eprint    = {{2504.13716}},
  archiveprefix= {{arXiv}},
  primaryclass= {{math.NT}},
}