A geometric approach to divergent points of higher dimensional Collatz mappings

DOI10.1007/S00605-016-0947-4zbMath1422.11021arXiv1511.05893OpenAlexW3098907797MaRDI QIDQ521614

Steffen Kionke

Publication date: 11 April 2017

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05893

zbMATH Keywords

geometry of numbersCollatz conjecture\(3x+1\) problem

Mathematics Subject Classification ID

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

Cites Work

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• Iteration of the number-theoretic function \(f(2n)=n\), \(f(2n+1)=3n+2\)
• Eine Bemerkung zum Hasse-Syracuse-Algorithmus
• The 3x+1 Problem: An Overview
• The 3x + 1 Problem and Its Generalizations
• A generalization of Hasse's generalization of the Syracuse algorithm
• Über Hasses Verallgemeinerung des Syracuse-Algorithmus (Kakutanis Problem)
• A stopping time problem on the positive integers
• Convex and Discrete Geometry

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