- 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
- Files:
-
-
(pdf, 419.3kb)
-
- Publisher copy:
- 10.1112/S002557931900007X
-
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- Funding agency for:
- Chow, S
- 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
- Copyright holder:
- University College London
- Copyright date:
- 2019
- Notes:
-
Copyright © 2019 University College London. This is the accepted manuscript version of the article. The final version is available online from Cambridge University Press at: https://doi.org/10.1112/S002557931900007X
Journal article
Lonely runners in function fields
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+ Engineering and Physical Sciences Research Council
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