Structural Reduction of the Collatz Conjecture to the Dynamics of an Induced Function

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Authors: Miguel Cerdá Bennassar
Cited by: 0

Abstract

The files of this record have been restricted. This paper belongs to a series on 2-adic survival sets in the Collatz dynamics that its author has withdrawn, because its central argument does not hold: it reverses the roles of the branches, since C₁ is the expanding branch and not the contracting one, and the results on mixed orbits depend on a hypothesis that contains the full problem. The correct content of the series is presented in “Tramos impares y pares de Collatz: tablas y triángulos 2-ádicos”, https://doi.org/10.5281/zenodo.23857015, and in version 2 of “Tramos puros en la dinámica de Collatz”.

Fields of Study & Subjects

Mathematical Dynamics and Fractals Analytic Number Theory Research Smarandache Functions and Recreational Number Theory

Publication details

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