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arXiv · 2011.06360

Quantitative Diophantine approximation with congruence conditions

Mahbub Alam·Anish Ghosh·Shucheng Yu
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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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Mahbub Alam, Anish Ghosh, Shucheng Yu. 2020-11-12. Quantitative Diophantine approximation with congruence conditions. https://doi.org/10.5802/jtnb.1161

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