A Necessary Condition on the Collatz Conjecture

2023/05/07 by Kerry M. Soileau, Soileau, Kerry M.
Mathematics · #Benford’s Law and Fraud Detection #FOS: Mathematics #General Mathematics (math.GM)

paper · pdf · doi:10.48550/arxiv.2310.06090

openalex publication_date 2023/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Collatz conjecture implies that an iterated function sequence under a certain linear operator, beginning with a certain complex valued function, must converge to a certain complex function.

Related

• On the Collatz Problem
• An Investigation of the Collatz Conjecture
• A new conjecture equivalent to Collatz conjecture
• Proof of the Collatz Conjecture
• A window to the Convergence of a Collatz Sequence