Dodson, Maurice and Everitt, Brent orcid.org/0000-0002-0395-338X (2014) Metrical Diophantine approximation for quaternions. Mathematical Proceedings of the Cambridge Philosophical Society. pp. 513-542. ISSN: 1469-8064
Abstract
Analogues of the classical theorems of Khintchine, Jarnik and Jarnik-Besicovitch in the metrical theory of Diophantine approximation are established for quaternions by applying results on the measure of general `lim sup' sets.
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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| Copyright, Publisher and Additional Information: | (c) Cambridge Philosophical Society 2014. This is an author produced version of a paper published in Mathematical Proceedings of the Cambridge Philosophical Society. Uploaded in accordance with the publisher's self-archiving policy. |
| Dates: |
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| Institution: | The University of York |
| Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
| Depositing User: | Pure (York) |
| Date Deposited: | 06 Nov 2015 08:54 |
| Last Modified: | 19 Sep 2025 23:32 |
| Published Version: | https://doi.org/10.1017/S0305004114000462 |
| Status: | Published |
| Refereed: | Yes |
| Identification Number: | 10.1017/S0305004114000462 |
| Related URLs: | |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:90637 |

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