By the same authors

From the same journal

Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents

Research output: Contribution to journalArticlepeer-review

Full text download(s)

Published copy (DOI)

Author(s)

Department/unit(s)

Publication details

JournalAnnali della Scuola Normale Superiore di Pisa. Classe di Scienze
DateAccepted/In press - 27 Mar 2019
DatePublished (current) - 22 Dec 2020
Issue numberSpecial 2020
Volume21
Number of pages29
Pages (from-to)643-671
Original languageEnglish

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.

Bibliographical note

© 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.

Discover related content

Find related publications, people, projects, datasets and more using interactive charts.

View graph of relations