A note on zero-one laws in metrical Diophantine approximation
Number Theory
2015-05-13 v1
Abstract
In this paper we discuss a general problem on metrical Diophantine approximation associated with a system of linear forms. The main result is a zero-one law that extends one-dimensional results of Cassels and Gallagher. The paper contains a discussion on possible generalisations including a selection of various open problems.
Keywords
Cite
@article{arxiv.0803.2355,
title = {A note on zero-one laws in metrical Diophantine approximation},
author = {Victor Beresnevich and Sanju Velani},
journal= {arXiv preprint arXiv:0803.2355},
year = {2015}
}
Comments
12 pages, Dedicated to Wolfgang Schmidt on the occasion of his 75th birthday