Beresnevich, Victor orcid.org/0000-0002-1811-9697, Ramirez, Felipe Alberto and Velani, Sanju orcid.org/0000-0002-4442-6316 (2017) Metric Diophantine Approximation:aspects of recent work. In: Badziahin, D., Gorodnik, A. and Peyerimhoff, N., (eds.) Dynamics and Analytic Number Theory. London Mathematical Society Lecture Note Series . Cambridge University Press , pp. 1-95.
Abstract
In these notes, we begin by recalling aspects of the classical theory of metric Diophantine approximation; such as theorems of Khintchine, Jarnik, Duffin-Schaeffer and Gallagher. We then describe recent strengthening of various classical statements as well as recent developments in the area of Diophantine approximation on manifolds. The latter includes the well approximable, the badly approximable and the inhomogeneous aspects.
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Item Type: | Book Section |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Cambridge University Press/the authors, 2017. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details. |
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: | 14 Mar 2017 12:20 |
Last Modified: | 25 Feb 2025 00:10 |
Status: | Published |
Publisher: | Cambridge University Press |
Series Name: | London Mathematical Society Lecture Note Series |
Refereed: | Yes |
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Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:113590 |
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