Simmons, David Samuel orcid.org/0000-0002-9136-6635, Chow, Sam, Ghosh, Anish et al. (2 more authors) (2020) Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents. Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. pp. 643-671.
Abstract
We extend the Khintchine transference inequalities, as well as a homogeneous-inhomogeneous transference inequality for lattices, due to Bugeaud and Laurent, to a weighted setting. We also provide applications to inhomogeneous Diophantine approximation on manifolds and to weighted badly approximable vectors. Finally, we interpret and prove a conjecture of Beresnevich-Velani (2010) about inhomogeneous intermediate exponents.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © 2020 Annali della Scuola Normale Superiore. 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: |
|
Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 15 Feb 2021 12:10 |
Last Modified: | 28 Feb 2025 00:07 |
Published Version: | https://doi.org/10.2422/2036-2145.201808_013 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.2422/2036-2145.201808_013 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:171140 |
Download
Filename: D.Simmons_AAM_1808.07184.pdf
Description: D.Simmons_AAM_1808.07184