2025/04/18 by Shalom Eliahou, Eliahou, Shalom, Jean-Louis Verger-Gaugry +1 · 1 citation
Computer Science · Mathematics · #11B83 #68R15 #Benford’s Law and Fraud Detection #Cryptography and Residue Arithmetic #FOS: Mathematics #Mathematics, Computing, and Information Processing #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2504.13716
openalex publication_date 2025/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The representation of numbers in rational base p/q was introduced in 2008 by Akiyama, Frougny & Sakarovitch, with a special focus on the case p/q=3/2. Unnoticed since then, natural questions related to representations in that specific base turn out to intimately involve the Collatz 3x+1 function. Our purpose in this note is to expose these links and motivate further research into them.