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Badly approximable points on manifolds
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Badly approximable points on manifolds (Beresnevich, 2015)
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Publication details
| Journal | Inventiones Mathematicae |
|---|---|
| Date | Accepted/In press - 20 Feb 2015 |
| Date | E-pub ahead of print - 5 Mar 2015 |
| Date | Published (current) - 1 Dec 2015 |
| Issue number | 3 |
| Volume | 202 |
| Number of pages | 42 |
| Pages (from-to) | 1199-1240 |
| Early online date | 5/03/15 |
| Original language | English |
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.
Bibliographical note
© 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.
- Diophantine approximation, Badly approximable points
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Programme Grant-New Frameworks in metric Number Theory
Project: Research project (funded) › Research
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