Fibonacci numbers and a metric on coprime pairs

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.

Authors

Mitsuaki Kimura (ORCID: https://orcid.org/0000-0001-9670-2776)

Institutions

Osaka Dental University (JP)

Publication Details

Journal: The Fibonacci Quarterly
Published: 2026-07-17
DOI: https://doi.org/10.1080/00150517.2026.2663987
Primary Topic: Advanced Mathematical Theories and Applications
Type: article
Field-Weighted Citation Impact: 0.00

Controls

|||

ALL TIME

JAN

FEB

MAR

APR

MAY

JUN

JUL

AUG

SEP

OCT

article

Fibonacci numbers and a metric on coprime pairs

Mitsuaki Kimura

Jul 17, 2026

The Fibonacci Quarterly

Advanced Mathematical Theories and Applications

article

Fibonacci numbers and a metric on coprime pairs

Mitsuaki Kimura

July 17, 2026article en

Abstract

The Fibonacci Quarterly

Osaka Dental University (JP)

Openalex Percentile: Top 8%

Advanced Mathematical Theories and Applications

DOI Source OpenAlex

AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Fibonacci numbers and a metric on coprime pairs — Mitsuaki Kimura · The Fibonacci Quarterly (2026) | TGRS Research Map | TGRS