QR koda

The number system in rational base $3/2$ and the $3x+1$ problem

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 $3x+1$ functi...

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Principais autores: Eliahou, Shalom, Verger-Gaugry, Jean-Louis
Format: Artigo
Jezik:Inglês
Izdano: Académie des sciences 2025-05-01
Serija:Comptes Rendus. Mathématique
Teme:
Online dostop:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.662/
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