A q q-Deformed Dirichlet Series for Collatz Orbits and an Analytic Reformulation of the Conjecture
Abstract
We introduce a rigorously well-posed analytic framework by applying a q-deformation parameter q ∈ (0,1) to the reciprocals of the raw Collatz orbit sequence
Fields of Study & Subjects
Analytic Number Theory Research
Mathematical Dynamics and Fractals
Smarandache Functions and Recreational Number Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 3 March 2026
- Language
- EN
- Document type
- Preprint