Beresnevich, Victor orcid.org/0000-0002-1811-9697 (2015) Badly approximable points on manifolds. Inventiones Mathematicae. pp. 1199-1240. ISSN 1432-1297
Abstract
Addressing a problem of Davenport we show that any finite intersection of the sets of weighted badly approximable points on any analytic nondegenerate manifold in has full dimension. This also extends Schmidt's conjecture on badly approximable points to arbitrary dimensions.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2015, The Author. This content is made available by the publisher under a Creative Commons Attribution Licence. This means that a user may copy, distribute and display the resource providing that they give credit. Users must adhere to the terms of the licence. |
Keywords: | Diophantine approximation,Badly approximable points |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Funding Information: | Funder Grant number EPSRC EP/J018260/1 |
Depositing User: | Pure (York) |
Date Deposited: | 09 Mar 2016 10:31 |
Last Modified: | 09 Feb 2025 00:07 |
Published Version: | https://doi.org/10.1007/s00222-015-0586-8 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1007/s00222-015-0586-8 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:95017 |
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Description: Badly approximable points on manifolds (Beresnevich, 2015)