Averaging structure in the \(3x+1\) problem

DOI10.1016/J.JNT.2014.09.024zbMath1332.11032OpenAlexW2045272352MaRDI QIDQ479605

Marc Chamberland

Publication date: 5 December 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.09.024

zbMATH Keywords

generating functionCollatz conjecture

Mathematics Subject Classification ID

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

Related Items (1)

3x+1 inverse orbit generating functions almost always have natural boundaries

Cites Work

• Functional equations connected with the Collatz problem
• Stochastic Models for the 3x+1 and 5x+1 Problems
• The 3x + 1 Problem and Its Generalizations
• A stopping time problem on the positive integers
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