A Rigorous Framework for the Collatz Conjecture:Structure, Constraints, and Markov analysis

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

Read full text
Authors: Kevin Nwanozie
DOI: 10.5281/zenodo.18517909
Cited by: 0

Abstract

We present a rigorous framework for analyzing the Collatz conjecture by restricting to the set $A = \{N \text{ odd}: v_2(3N+1) \le 6\}$, which contains $63/64$ of all odd integers.

Fields of Study & Subjects

Analytic Number Theory Research Mathematical Dynamics and Fractals Advanced Mathematical Theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
7 February 2026
Document type
Preprint