English

Collatz Cycles and $3n+c$ Cycles

General Mathematics 2021-04-19 v4

Abstract

Halbeisen and Hungerbuhler determined optimal bounds for the length of rational Collatz cycles. Their methods are extended to 3n+c3n+c cycles. Another sequence having properties similar to those of Riemann zeta function zeros is introduced.

Cite

@article{arxiv.2101.04067,
  title  = {Collatz Cycles and $3n+c$ Cycles},
  author = {Darrell Cox and Sourangshu Ghosh and Eldar Sultanow},
  journal= {arXiv preprint arXiv:2101.04067},
  year   = {2021}
}

Comments

26 pages, 15 figures

R2 v1 2026-06-23T22:00:51.944Z