On the nonexistence of $2$-cycles for the $3x+1$ problem

DOI10.1090/S0025-5718-04-01728-4zbMath1078.11015WikidataQ56069520 ScholiaQ56069520MaRDI QIDQ4671854

John L. Simons

Publication date: 27 April 2005

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

Baker's method\(3x+1\) problem2-cycles

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Linear forms in logarithms; Baker's method (11J86) Diophantine approximation in probabilistic number theory (11K60) Special sequences (11K31)

Related Items

A simple (inductive) proof for the non-existence of 2-cycles of the \(3x+1\) problem, On the nonexistence of nontrivial small cycles of the \(\mu\) function in \(3x+1\) conjecture, A Dual-Radix Approach to Steiner’s 1-Cycle Theorem

Cites Work

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• The dynamical system generated by the \(3n+1\) function
• Linear forms in two logarithms and interpolation determinants
• The 3x + 1 Problem and Its Generalizations
• A lower bound for linear forms in logarithms
• Theoretical and computational bounds for m-cycles of the 3n+1-problem