Erdős, Klarner, and the 3x + 1 Problem

Erdős, Klarner, and the 3x + 1 Problem

This paper describes work of Erdős, Klarner, and Rado on semigroups of integer affine maps and on sets of integers they generate. It gives the history of problems they studied, some solutions, and new unsolved problems that arose from them.

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Veröffentlicht in:The American mathematical monthly 2016-10, Vol.123 (8), p.753-776, Article 753
1. Verfasser: Lagarias, Jeffrey C
Format: Artikel
Sprache:eng
Schlagworte:
Arithmetic progressions
Geometry
Induction assumption
Integers
Latin squares
Mathematical functions
Mathematical problems
Mathematical sets
Mathematical theorems
Mathematical vectors
Multisets
Semigroups
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Zusammenfassung:This paper describes work of Erdős, Klarner, and Rado on semigroups of integer affine maps and on sets of integers they generate. It gives the history of problems they studied, some solutions, and new unsolved problems that arose from them.
ISSN:0002-9890
1930-0972
DOI:10.4169/amer.math.monthly.123.8.753