Effective rational approximation on spheres
Number Theory
2022-06-20 v1 Dynamical Systems
Abstract
We prove an effective estimate for the counting function of Diophantine approximants on the sphere S. We use homogeneous dynamics on the space of orthogonal lattices, in particular effective equidistribution results and non-divergence estimates for the Siegel transform, developping on recent results of Alam-Ghosh and Kleinbock-Merrill.
Cite
@article{arxiv.2206.08924,
title = {Effective rational approximation on spheres},
author = {Zouhair Ouaggag},
journal= {arXiv preprint arXiv:2206.08924},
year = {2022}
}