A Dual-Radix Approach to Steiner's 1-Cycle Theorem

Andrey Rukhin

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arXiv · 1805.10496

A Dual-Radix Approach to Steiner's 1-Cycle Theorem

Andrey Rukhin

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Abstract

This article presents a variety of algebraic proofs of Steiner's $1$-Cycle Theorem. It also demonstrates that, under an exponential upper-bound on the iterates, the only $1$-cycles in the (accelerated) $3x-1$ dynamical system are $(1)$ and $(5,7)$.

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BibTeX RIS

Andrey Rukhin. 2019-05-18. A Dual-Radix Approach to Steiner's 1-Cycle Theorem. https://arxiv.org/abs/1805.10496

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