Quantitative Diophantine approximation on affine subspaces

Arijit Ganguly; Anish Ghosh

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arXiv · 1610.02157

Quantitative Diophantine approximation on affine subspaces

Arijit Ganguly·Anish Ghosh

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Abstract

Recently, Adiceam, Beresnevich, Levesley, Velani and Zorin proved a quantitative version of the convergence case of the Khintchine-Groshev theorem for nondegenerate manifolds, motivated by applications to interference alignment. In the present paper, we obtain analogues of their results for affine subspaces.

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Arijit Ganguly, Anish Ghosh. 2016-10-07. Quantitative Diophantine approximation on affine subspaces. https://arxiv.org/abs/1610.02157

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