On the existence of infinite, non-trivial F-sets
In this paper we prove a conjecture of J. Andrade, S.J. Miller, K. Pratt and M. Trinh, showing the existence of a non-trivial infinite F-set over Fq[x] for every fixed q. We also provide the proof of a refinement of the conjecture, involving the notion of width of an F-set, which is a natural number...
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| Format: | Journal article |
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Elsevier
2016
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| _version_ | 1826306953149677568 |
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| author | Ferraguti, A Micheli, G |
| author_facet | Ferraguti, A Micheli, G |
| author_sort | Ferraguti, A |
| collection | OXFORD |
| description | In this paper we prove a conjecture of J. Andrade, S.J. Miller, K. Pratt and M. Trinh, showing the existence of a non-trivial infinite F-set over Fq[x] for every fixed q. We also provide the proof of a refinement of the conjecture, involving the notion of width of an F-set, which is a natural number encoding the complexity of the set. |
| first_indexed | 2024-03-07T06:55:43Z |
| format | Journal article |
| id | oxford-uuid:fe1835f6-d33c-4856-8e66-2c93946b82f3 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T06:55:43Z |
| publishDate | 2016 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:fe1835f6-d33c-4856-8e66-2c93946b82f32022-03-27T13:33:43ZOn the existence of infinite, non-trivial F-setsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:fe1835f6-d33c-4856-8e66-2c93946b82f3Symplectic Elements at OxfordElsevier2016Ferraguti, AMicheli, GIn this paper we prove a conjecture of J. Andrade, S.J. Miller, K. Pratt and M. Trinh, showing the existence of a non-trivial infinite F-set over Fq[x] for every fixed q. We also provide the proof of a refinement of the conjecture, involving the notion of width of an F-set, which is a natural number encoding the complexity of the set. |
| spellingShingle | Ferraguti, A Micheli, G On the existence of infinite, non-trivial F-sets |
| title | On the existence of infinite, non-trivial F-sets |
| title_full | On the existence of infinite, non-trivial F-sets |
| title_fullStr | On the existence of infinite, non-trivial F-sets |
| title_full_unstemmed | On the existence of infinite, non-trivial F-sets |
| title_short | On the existence of infinite, non-trivial F-sets |
| title_sort | on the existence of infinite non trivial f sets |
| work_keys_str_mv | AT ferragutia ontheexistenceofinfinitenontrivialfsets AT michelig ontheexistenceofinfinitenontrivialfsets |