English

Two remarks on the Collatz cycle conjecture

Number Theory 2014-09-23 v3

Abstract

We give a short proof of Belaga's result on bounds to perigees of (3x+d)(3x+d)-cycles of a given oddlength. We also reformulate the Collatz cycle conjecture which is rather a algorithmic problem into a purely arithmetic problem.

Keywords

Cite

@article{arxiv.1010.6206,
  title  = {Two remarks on the Collatz cycle conjecture},
  author = {Masayoshi Kaneda},
  journal= {arXiv preprint arXiv:1010.6206},
  year   = {2014}
}

Comments

8 pages

R2 v1 2026-06-21T16:36:05.878Z