On the arithmetic of cycles for the Collatz-Hasse (`Syracuse') conjectures

DOI10.1016/0012-365X(88)90121-5zbMath0638.10003WikidataQ123245042 ScholiaQ123245042MaRDI QIDQ1099201

Benedict G. Seifert

Publication date: 1988

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

zbMATH Keywords

cycle lengthiterations\(3x+1\) problemSyracuse problemCollatz-Hasse problemcycle vectors

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Unnamed Item
• On the Fermat-Catalan equation
• Iteration of the number-theoretic function \(f(2n)=n\), \(f(2n+1)=3n+2\)
• Eine Bemerkung zum Hasse-Syracuse-Algorithmus
• Über Hasses Verallgemeinerung des Syracuse-Algorithmus (Kakutanis Problem)
• A stopping time problem on the positive integers

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