Quantitative Diophantine approximation on affine subspaces

Published 7 Oct 2016 in math.NT and math.DS | (1610.02157v1)

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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