Fibonacci numbers and a metric on coprime pairs
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911442625626112 |
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| author | Kimura, Mitsuaki |
| author_facet | Kimura, Mitsuaki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11755 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fibonacci numbers and a metric on coprime pairs Kimura, Mitsuaki Metric Geometry Number Theory 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. |
| title | Fibonacci numbers and a metric on coprime pairs |
| topic | Metric Geometry Number Theory |
| url | https://arxiv.org/abs/2602.11755 |