Quantitative Diophantine approximation with congruence conditions
Number Theory
2022-08-01 v1
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.
Cite
@article{arxiv.2011.06360,
title = {Quantitative Diophantine approximation with congruence conditions},
author = {Mahbub Alam and Anish Ghosh and Shucheng Yu},
journal= {arXiv preprint arXiv:2011.06360},
year = {2022}
}