4.3 Article

Quantitative Diophantine approximation on affine subspaces

Journal

MATHEMATISCHE ZEITSCHRIFT
Volume 292, Issue 3-4, Pages 923-935

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s00209-018-2115-0

Keywords

Diophantine approximation on manifolds; Flows on homogeneous spaces; Khintchine-Groshev theorem; Quantitative Diophantine approximation; Interference alignment; 11J83; 11K60

Categories

Funding

  1. UGC grant

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Recently, Adiceam et.al. (Adv Math 302:231-279, 2016) 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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