Fibonacci numbers and a metric on coprime pairs

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Mitsuaki Kimura
DOI: 10.48550/arxiv.2602.11755
Cited by: 0

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.

Fields of Study & Subjects

Advanced Mathematical Theories and Applications Analytic Number Theory Research Mathematical Dynamics and Fractals

Publication details

Journal / source
arXiv (Cornell University)
Publication date
12 February 2026
Language
EN
Document type
Preprint