Inhomogeneous dual Diophantine approximation on affine subspaces

Victor Beresnevich; Arijit Ganguly; Anish Ghosh; Sanju Velani

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arXiv · 1711.08559

Inhomogeneous dual Diophantine approximation on affine subspaces

Victor Beresnevich·Arijit Ganguly·Anish Ghosh·Sanju Velani

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Abstract

We prove the convergence and divergence cases of an inhomogeneous Khintchine-Groshev type theorem for dual approximation restricted to affine subspaces in $\mathbb{R} ^n$. The divergence results are proved in the more general context of Hausdorff measures.

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Victor Beresnevich, Arijit Ganguly, Anish Ghosh, Sanju Velani. 2017-11-23. Inhomogeneous dual Diophantine approximation on affine subspaces. https://arxiv.org/abs/1711.08559

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