Work

The Lonely Runner Conjecture turns 60

Year: 2025

Type: article

Abstract: 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.

Source: Computer Science Review

DOI: 10.1016/j.cosrev.2025.100798

Authors: Guillem Perarnau, Oriol Serra

Institutions: Centre de Recerca Matemàtica, Universitat Politècnica de Catalunya

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,190

Funders: Agencia Estatal de Investigación, Spanish National Plan for Scientific and Technical Research and Innovation