Is the Syracuse falling time bounded by 12?

DOI10.1007/978-3-031-10796-2_7OpenAlexW3184525170MaRDI QIDQ2696028

Shalom Eliahou, Rénald Simonetto, Jean Fromentin

Publication date: 5 April 2023

Full work available at URL: https://arxiv.org/abs/2107.11160

zbMATH Keywords

stopping timejump functionCollatz conjecture\(3x+1\) problemglide record

Mathematics Subject Classification ID

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

Cites Work

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• The \(3x+1\) problem: New lower bounds on nontrivial cycle lengths
• Iteration of the number-theoretic function \(f(2n)=n\), \(f(2n+1)=3n+2\)
• Structure theorem for \((d,g,h)\)-maps.
• Benford's law, values of L-functions and the 3x+1 problem
• A stopping time problem on the positive integers
• On the "3x + 1" Problem
• Statistical (3x + 1) problem
• Almost all orbits of the Collatz map attain almost bounded values

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