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arXiv · 1206.0553

The autoconjugacy of a generalized Collatz map

Alec Edgington
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Abstract

Many of the 2-adic properties of the 3x+1 map generalize to the analogous mx+r map, where m and r are odd integers. We introduce the corresponding autoconjugacy map, prove some simple properties of it and make some further conjectures in the general setting, including weak versions of the periodicity and divergent trajectories conjectures.

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Alec Edgington. 2012-06-04. The autoconjugacy of a generalized Collatz map. https://arxiv.org/abs/1206.0553

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