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Functions for the $3n+1$-problem

Year: 2025
Type: article
Abstract: What functions can represent the $3n+1$-problem? A number of such functions have been given during the past years. In this paper, a specific one is considered which has $1, 2, 3, \ldots$ as critical points and $1.5, 2.5, 3.5, \ldots$ as fixed points on the interval $[1,\infty)$. Another function is presented with critical points $1, 2, 3, \ldots ,$ and fixed point $0.5391\!\ldots $ on the real line.
Author: P. Kórus
Language: English
Open Access status: gold
Estimated APC paid: $20
OpenAlex ID: W7127331756
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