A generalization of Everett's result on the Collatz \(3x+1\) problem

DOI10.1016/0196-8858(87)90018-2zbMath0648.10009OpenAlexW1976649846MaRDI QIDQ1104962

S. H. Smith

Publication date: 1987

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(87)90018-2

zbMATH Keywords

densityCollatz problem\(3x+1\) conjecture

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Radix representation; digital problems (11A63) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

On a generalization of the \(3x+1\) problem ⋮ On the \(3x+1\) problem ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Iteration of the number-theoretic function \(f(2n)=n\), \(f(2n+1)=3n+2\)
• The 3x + 1 Problem and Its Generalizations
• On the Collatz 3n + 1 Algorithm
• A stopping time problem on the positive integers
• On the existence of a density

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