Functional equations connected with the Collatz problem

DOI10.1007/BF03323136zbMath0810.11013OpenAlexW1977281335MaRDI QIDQ1320068

Günter Meinardus, Lothar Berg

Publication date: 11 April 1995

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323136

zbMATH Keywords

linear functional equation\(3x+1\)-problemCollatz functionCollatz-conjecture

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Special sequences and polynomials (11B83)

Related Items (5)

An analytic approach to the Collatz \(3n+1\) problem for negative start values ⋮ Linear dynamics of an operator associated to the Collatz map ⋮ Averaging structure in the \(3x+1\) problem ⋮ On the \(3n+1\) problem ⋮ 3x+1 inverse orbit generating functions almost always have natural boundaries

Cites Work

• The 3x + 1 Problem and Its Generalizations
• On the Collatz 3n + 1 Algorithm
• Some Borel measures associated with the generalized Collatz mapping
• A stopping time problem on the positive integers
• On the "3x + 1" Problem
• \(3x + 1\) search programs
• Unnamed Item
• Unnamed Item

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