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Lonely runners in function fields

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Chow, Sam and Rimanic, Luka (2019) Lonely runners in function fields. Mathematika, 65 . pp. 677-701. doi:10.1112/S002557931900007X

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Official URL: https://doi.org/10.1112/S002557931900007X

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Abstract

The lonely runner conjecture, now over fifty years old, concerns the following problem. On a unit-length circular track, consider runners starting at the same time and place, each runner having a different constant speed. The conjecture asserts that each runner is lonely at some point in time, meaning at a distance at least from the others. We formulate a function field analogue, and give a positive answer in some cases in the new setting.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Mathematika
Publisher: London Mathematical Society
ISSN: 0025-5793
Official Date: 12 April 2019
Dates:
DateEvent
12 April 2019Published
25 December 2018Accepted
Volume: 65
Page Range: pp. 677-701
DOI: 10.1112/S002557931900007X
Status: Peer Reviewed
Publication Status: Published
Publisher Statement: This article has been published in a revised form in Mathematika [http://doi.org/10.1112/S002557931900007X This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © University College London 2019
Access rights to Published version: Restricted or Subscription Access
Copyright Holders: © University College London 2019
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