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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
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 | ||||||
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| 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: |
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| 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 | ||||||
| Open Access Version: |
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