Khintchine's theorem for affine hyperplanes in positive charateristic
Number Theory
2021-06-14 v2
Abstract
In this paper we establish the convergence case of Khintchine's theorem for affine hyperplanes in function field of positive characteristic. Along with that, we also prove a quantitative version of the same. The main technique used in the proof is a dynamical result called `Quantitative nondivergence' due to D. Y. Kleinbock and G. A. Margulis [17].
Keywords
Cite
@article{arxiv.2106.04806,
title = {Khintchine's theorem for affine hyperplanes in positive charateristic},
author = {Arijit Ganguly},
journal= {arXiv preprint arXiv:2106.04806},
year = {2021}
}