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Diophantine approximation in metric space
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dc.contributor.author | Fraser, Jonathan | |
dc.contributor.author | Koivusalo, Henna | |
dc.contributor.author | Ramirez, Felipe | |
dc.date.accessioned | 2022-12-02T12:30:11Z | |
dc.date.available | 2022-12-02T12:30:11Z | |
dc.date.issued | 2023-04-01 | |
dc.identifier | 281677629 | |
dc.identifier | 5a9ccbaf-0d1a-435c-963a-4745bc69433f | |
dc.identifier | 85143383320 | |
dc.identifier.citation | Fraser , J , Koivusalo , H & Ramirez , F 2023 , ' Diophantine approximation in metric space ' , Bulletin of the London Mathematical Society , vol. 55 , no. 2 , pp. 756-776 . https://doi.org/10.14760/OWP-2021-07 , https://doi.org/10.1112/blms.12755 | en |
dc.identifier.issn | 0024-6093 | |
dc.identifier.other | ORCID: /0000-0002-8066-9120/work/124079009 | |
dc.identifier.uri | https://hdl.handle.net/10023/26529 | |
dc.description | Funding: The authors were supported by a Mathematisches Forschungsinstitut Oberwolfach - Research in Pairs Grant. JMF was financially supported by an EPSRC Standard Grant (EP/R015104/1) and a Leverhulme Trust Research Project Grant (RPG-2019-034). | en |
dc.description.abstract | Diophantine approximation is traditionally the study of how well real numbers are approximated by rationals. We propose a model for studying Diophantine approximation in an arbitrary totally bounded metric space where the rationals are replaced with a countable hierarchy of “well-spread” points, which we refer to as abstract rationals. We prove various Jarník–Besicovitch type dimension bounds and investigate their sharpness. | |
dc.format.extent | 21 | |
dc.format.extent | 186385 | |
dc.language.iso | eng | |
dc.relation.ispartof | Bulletin of the London Mathematical Society | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject | MCC | en |
dc.subject.lcc | QA | en |
dc.title | Diophantine approximation in metric space | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.sponsor | The Leverhulme Trust | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.14760/OWP-2021-07 | |
dc.description.status | Peer reviewed | en |
dc.identifier.grantnumber | EP/R015104/1 | en |
dc.identifier.grantnumber | RPG-2019-034 | en |
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