Quantitative Diophantine approximation with congruence conditions

Alam, Mahbub ; Ghosh, Anish ; Yu, Shucheng (2020) Quantitative Diophantine approximation with congruence conditions arXiv.org.

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Abstract

In this short paper we prove a quantitative version of the Khintchine-Groshev Theorem with congruence conditions. Our argument relies on a classical argument of Schmidt on counting generic lattice points, which in turn relies on a certain variance bound on the space of lattices.

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Deposited On:11 Oct 2021 11:26
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