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Journal article

Lonely runners in function fields

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.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1112/S002557931900007X

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Rimanic, L More by this author
Publisher:
Cambridge University Press Publisher's website
Journal:
Mathematika Journal website
Volume:
65
Issue:
3
Pages:
677-701
Publication date:
2019-04-12
Acceptance date:
2018-12-25
DOI:
EISSN:
2041-7942
ISSN:
0025-5793
Pubs id:
pubs:954680
URN:
uri:d1098162-aff8-4612-b38e-185d67d25664
UUID:
uuid:d1098162-aff8-4612-b38e-185d67d25664
Local pid:
pubs:954680

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