The Lonely Runner Conjecture turns 60

Fuente: arXiv
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Auteurs principaux: Perarnau, Guillem, Serra, Oriol
Format: Preprint
Publié: 2024
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author Perarnau, Guillem
Serra, Oriol
author_facet Perarnau, Guillem
Serra, Oriol
contents The Lonely Runner Conjecture originated in Diophantine approximation is turning 60. Even if the conjecture is still widely open, the flow of partial results, innovative tools and connections to different problems and applications has been steady on its long life. This survey attempts to give a panoramic view of the status of the problem, trying to highlight the contributions of the many papers that it has originated.
format Preprint
id arxiv_https___arxiv_org_abs_2409_20160
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The Lonely Runner Conjecture turns 60
Perarnau, Guillem
Serra, Oriol
Combinatorics
Metric Geometry
Number Theory
The Lonely Runner Conjecture originated in Diophantine approximation is turning 60. Even if the conjecture is still widely open, the flow of partial results, innovative tools and connections to different problems and applications has been steady on its long life. This survey attempts to give a panoramic view of the status of the problem, trying to highlight the contributions of the many papers that it has originated.
title The Lonely Runner Conjecture turns 60
topic Combinatorics
Metric Geometry
Number Theory
url https://arxiv.org/abs/2409.20160