English

On a general Syracuse problem with conjectures

Number Theory 2021-09-01 v1

Abstract

In this paper, we study a general Syracuse problem. We give some necessary conditions concerning the existence of eventual non trivial cycles. Some properties based on linear logarithmic forms are established. New general conjectures are given. To illustrate the behavior of such a problem, some particular examples are presented.

Keywords

Cite

@article{arxiv.2108.13845,
  title  = {On a general Syracuse problem with conjectures},
  author = {Abderrahman Bouhamidi},
  journal= {arXiv preprint arXiv:2108.13845},
  year   = {2021}
}

Comments

18 pages

R2 v1 2026-06-24T05:33:51.934Z