Marnat, Antoine (2018) Note on the spectrum of classical and uniform exponents of Diophantine approximation. Acta Arithmetica. ISSN 1730-6264
Abstract
Using the Parametric Geometry of Numbers introduced recently by W.M. Schmidt and L. Summerer and results by D. Roy, we establish that the spectrum of the 2n exponents of Diophantine approximation in dimension n≥3 is a subset of R2n with non empty interior.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | 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 |
Keywords: | math.NT,11J13 |
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: | 25 Apr 2018 16:00 |
Last Modified: | 16 Oct 2024 14:41 |
Published Version: | https://doi.org/10.4064/aa170106-23-3 |
Status: | Published online |
Refereed: | Yes |
Identification Number: | 10.4064/aa170106-23-3 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:130106 |