Inhomogeneous Dual Diophantine Approximation on Affine Subspaces

Velani, Sanju ; Ghosh, Anish ; Ganguly, Arijit ; Beresnevich, Victor (2018) Inhomogeneous Dual Diophantine Approximation on Affine Subspaces International Mathematics Research Notices, 2020 (12). pp. 3582-3613. ISSN 1073-7928

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Official URL: http://doi.org/10.1093/imrn/rny124

Related URL: http://dx.doi.org/10.1093/imrn/rny124

Abstract

We prove the convergence and divergence cases of an inhomogeneous Khintchine–Groshev-type theorem for dual approximation restricted to affine subspaces in Rn⁠. The divergence results are proved in the more general context of Hausdorff measures.

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ID Code:123679
Deposited On:11 Oct 2021 09:46
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