Collatz conjecture Reduction of the ROM3 and B sets to low-density sets
Abstract
In the attempt to prove the Collatz conjecture, the most robust strategy is a deterministic one. We aim to remain within this framework by extracting as much structural information as possible from the dynamics. In this work, we introduce systematic reductions of the validation sets of the Syracuse (Collatz) conjecture based on binary patterns.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Analytic Number Theory Research
Advanced Mathematical Theories
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 14 January 2026
- Document type
- Preprint