Work

Research on the modified Collatz theorem on the set of negative integers

Year: 2026

Type: article

Abstract: This research presents a comprehensive study and mathematical development focusing on a modified version of the Collatz Transformation applied specifically to negative integers. By introducing localized quadratic division mechanisms, the study investigates numeric convergence patterns, trajectory behaviors, and periodic cycles across extensive blocks of negative numbers, contributing new insights to number theory and discrete dynamical systems

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24013305

Author: Shahd Yousif

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225376111

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