English

A new conjecture equivalent to Collatz conjecture

General Mathematics 2023-05-18 v1

Abstract

In this paper a new conjecture equivalent to Collatz conjecture is presented. In particural, showing that (all) the solution(s) of newly introduced iterative functional equation(s) have a given property is equivalent to prove Collatz conjecture.

Keywords

Cite

@article{arxiv.2305.10117,
  title  = {A new conjecture equivalent to Collatz conjecture},
  author = {Giulio Masetti},
  journal= {arXiv preprint arXiv:2305.10117},
  year   = {2023}
}
R2 v1 2026-06-28T10:36:56.577Z