Ramírez, Felipe A., Simmons, David S. orcid.org/0000-0002-9136-6635 and Sueess, Fabian (2017) Rational approximation of affine coordinate subspaces of Euclidean space. Acta Arithmetica. ISSN 1730-6264
Abstract
We show that affine coordinate subspaces of dimension at least two in Euclidean space are of Khintchine type for divergence. For affine coordinate subspaces of dimension one, we prove a result which depends on the dual Diophantine type of the basepoint of the subspace. These results provide evidence for the conjecture that all affine subspaces of Euclidean space are of Khintchine type for divergence.
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Copyright, Publisher and Additional Information: | 10 pages. v2: new introduction | ||||
Keywords: | math.NT | ||||
Dates: |
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Institution: | The University of York | ||||
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) | ||||
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Depositing User: | Pure (York) | ||||
Date Deposited: | 23 Feb 2017 13:00 | ||||
Last Modified: | 06 Dec 2023 11:44 | ||||
Status: | Published | ||||
Refereed: | Yes | ||||
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