A new conjecture equivalent to Collatz conjecture

2023/05/17 by Giulio Masetti, Masetti, Giulio
Mathematics · #Benford’s Law and Fraud Detection #FOS: Mathematics #General Mathematics (math.GM)

paper · pdf · doi:10.48550/arxiv.2305.10117

openalex publication_date 2023/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper a new conjecture equivalent to Collatz conjecture is presented. In particural, showing that (all) the solution(s) of newly introduced iterative functional equation(s) have a given property is equivalent to prove Collatz conjecture.

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