A Khintchine type theorem for hyperplanes
Number Theory
2007-05-23 v1 Dynamical Systems
Abstract
We prove that the convergence Khintchine theorem holds for affine hyperplanes whose parametrizing matrices satisfy a mild Diophantine condition. We use the dynamical method of Kleinbock-Margulis.
Cite
@article{arxiv.math/0508473,
title = {A Khintchine type theorem for hyperplanes},
author = {Anish Ghosh},
journal= {arXiv preprint arXiv:math/0508473},
year = {2007}
}
Comments
14 pages