The autoconjugacy of the \(3x+1\) function.

DOI10.1016/S0012-365X(03)00125-0zbMath1048.11012MaRDI QIDQ1420600

Kenneth G. Monks, Jonathan T. Yazinski

Publication date: 2 February 2004

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

Collatz problemConjugacy\(3x+1\) Problem

Mathematics Subject Classification ID

Recurrences (11B37) Special sequences and polynomials (11B83)

Related Items (6)

Visualizing generalized \(3x+1\) function dynamics based on fractal ⋮ The Collatz problem in \(\mathbb{F}_p [x\) and \(\mathbb{F}_p x\)] ⋮ On conjugacies of the \(3x+1\) map induced by continuous endomorphisms of the shift dynamical system ⋮ Parity sequences of the 3x+1 map on the 2-adic integers and Euclidean embedding ⋮ The Collatz conjecture and de Bruijn graphs ⋮ Endomorphisms of the shift dynamical system, discrete derivatives, and applications

Cites Work

• The \(3x+1\) problem: New lower bounds on nontrivial cycle lengths
• The 3x+ 1 Conjugacy Map
• The 3x + 1 Problem and Its Generalizations
• A Non-Iterative 2-Adic Statement of the 3N + 1 Conjecture
• The set of rational cycles for the 3x+1 problem
• Endomorphisms and automorphisms of the shift dynamical system

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