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Quantitative Diophantine approximation on affine subspaces

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Abstract

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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Acknowledgements

Part of this work was done when the second named author was visiting Peking University. He thanks J. An for his hospitality. Ghosh is supported by a UGC grant.

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Authors and Affiliations

  1. School of Mathematics, Tata Institute of Fundamental Research, Mumbai, 400005, India

    Arijit Ganguly & Anish Ghosh

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  1. Arijit Ganguly
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  2. Anish Ghosh
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Correspondence to Anish Ghosh.

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Ganguly, A., Ghosh, A. Quantitative Diophantine approximation on affine subspaces. Math. Z. 292, 923–935 (2019). https://doi.org/10.1007/s00209-018-2115-0

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  • DOI: https://doi.org/10.1007/s00209-018-2115-0

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