Zero-one laws in simultaneous and multiplicative Diophantine approximation
Number Theory
2014-01-14 v1
Abstract
Answering two questions of Beresnevich and Velani, we develop zero-one laws in both simultaneous and multiplicative Diophantine approximation. Our proofs rely on a Cassels-Gallagher type theorem as well as a higher-dimensional analogue of the cross fibering principle of Beresnevich, Haynes and Velani.
Keywords
Cite
@article{arxiv.1204.2236,
title = {Zero-one laws in simultaneous and multiplicative Diophantine approximation},
author = {Liangpan Li},
journal= {arXiv preprint arXiv:1204.2236},
year = {2014}
}