Chow, Sam ; Ghosh, Anish ; Guan, Lifan ; Marnat, Antoine ; Simmons, David (2020) Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, XXI . pp. 643-671. ISSN 0391-173X
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Official URL: http://doi.org/10.2422/2036-2145.201808_013
Related URL: http://dx.doi.org/10.2422/2036-2145.201808_013
Abstract
We extend the Khintchine transference inequalities, as well as a homogeneous-inhomogeneoustransference 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 BeresnevichVelani (2010) about inhomogeneous intermediate exponents.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Scuola Normale Superiore. |
| ID Code: | 123683 |
| Deposited On: | 11 Oct 2021 10:49 |
| Last Modified: | 11 Oct 2021 10:49 |
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