3x+1 dynamics on rationals with fixed denominator
Dynamical Systems
2007-05-23 v1 Number Theory
Abstract
We propose the existence of an infinite class of exact analogues of the 3x+1 conjecture for rational numbers with fixed denominators. For some other denominators, there are several attracting cycles, which exhibit scaling and covariance phenomena. We analyze these phenomena in terms of results of Bohm, Sontacchi and Lagarias.
Keywords
Cite
@article{arxiv.math/0204170,
title = {3x+1 dynamics on rationals with fixed denominator},
author = {Barry Brent},
journal= {arXiv preprint arXiv:math/0204170},
year = {2007}
}
Comments
7 pages, AMS-TeX