T. Tao and the Syracuse conjecture

DOI10.4171/MAG-64zbMath1482.11001OpenAlexW4214688803MaRDI QIDQ831609

Jean-Paul Allouche

Publication date: 24 March 2022

Published in: European Mathematical Society Magazine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/mag-64

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) History of mathematics in the 21st century (01A61) History of number theory (11-03) Special sequences and polynomials (11B83) Relations between ergodic theory and number theory (37A44)

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
• Periodic nonlinear Schrödinger equation and invariant measures
• Über Hasses Verallgemeinerung des Syracuse-Algorithmus (Kakutanis Problem)
• F-Normalreihen.
• A stopping time problem on the positive integers
• On the existence of a density
• Bounds for the 3x+1 problem using difference inequalities

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