Rectangular shrinking targets for $\mathbb{Z}^m$ actions on tori: well and badly approximable systems

Victor Beresnevich; Shreyasi Datta; Anish Ghosh; Ben Ward

doi:10.4064/aa231108-27-8

Rectangular shrinking targets for $\mathbb{Z}^m$ actions on tori: well and badly approximable systems

Victor Beresnevich, Shreyasi Datta^*, Anish Ghosh, Ben Ward

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

Original language	English
Pages (from-to)	349-363
Number of pages	15
Journal	Acta Arithmetica
Volume	216
Early online date	22 Nov 2024
DOIs	https://doi.org/10.4064/aa231108-27-8
Publication status	E-pub ahead of print - 22 Nov 2024

Bibliographical note

This is an author-produced version of the published paper. Uploaded in accordance with the University’s Research Publications and Open Access policy.

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10.4064/aa231108-27-8

RECTANGULAR SHRINKING TARGETS
This is an author-produced version of the published paper. Uploaded in accordance with the University’s Research Publications and Open Access policy.
Accepted author manuscript, 387 KBLicence: CC BY

1 Finished
1 Active

The density of rational points near manifolds and applications
Beresnevich, V. (Principal investigator)
EPSRC
1/05/24 → 29/02/28
Project: Research project (funded) › Research
The Inhomogeneous Duffin-Schaeffer Conjecture
Beresnevich, V. (Principal investigator)
EPSRC
1/10/23 → 31/07/24
Project: Research project (funded) › Research

Cite this

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title = "Rectangular shrinking targets for $\mathbb{Z}^m$ actions on tori: well and badly approximable systems",

author = "Victor Beresnevich and Shreyasi Datta and Anish Ghosh and Ben Ward",

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AU - Beresnevich, Victor

AU - Datta, Shreyasi

AU - Ghosh, Anish

AU - Ward, Ben

N1 - This is an author-produced version of the published paper. Uploaded in accordance with the University’s Research Publications and Open Access policy.

PY - 2024/11/22

Y1 - 2024/11/22

U2 - 10.4064/aa231108-27-8

DO - 10.4064/aa231108-27-8

M3 - Article

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EP - 363

JO - Acta Arithmetica

JF - Acta Arithmetica

ER -

Rectangular shrinking targets for $\mathbb{Z}^m$ actions on tori: well and badly approximable systems

Bibliographical note

Access to Document

Projects

The density of rational points near manifolds and applications

The Inhomogeneous Duffin-Schaeffer Conjecture

Cite this