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

DOI10.4064/aa170-2-1zbMath1332.30004arXiv1408.6884OpenAlexW2964127693MaRDI QIDQ5500819

Jeffrey C. Lagarias, Jason P. Bell

Publication date: 10 August 2015

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.6884

zbMATH Keywords

difference equationsdiscrete dynamical systemsCollatz problemSkolem-Mahler-Lech theorem

Mathematics Subject Classification ID

Cites Work

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• Density Bounds for the 3x + 1 Problem. I. Tree-Search Method
• The set of rational cycles for the 3x+1 problem
• A Skolem–Mahler–Lech Theorem for Iterated Automorphisms ofK–algebras
• The rational-transcendental dichotomy of Mahler functions

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