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arXiv · 2602.11755

Fibonacci numbers and a metric on coprime pairs

Mitsuaki Kimura
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Abstract

In this paper, we introduce a metric on the set of pairs of coprime natural numbers. We explicitly construct a quasi-isometric embedding from the set of natural numbers into this metric space via Fibonacci numbers.

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Mitsuaki Kimura. 2026-02-12. Fibonacci numbers and a metric on coprime pairs. https://arxiv.org/abs/2602.11755

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