Spherical averages of Siegel transforms for higher rank diagonal actions and applications
Dynamical Systems
2015-01-06 v2 Number Theory
Abstract
We investigate the geometry of approximates in multiplicative Diophantine approximation. Our main tool is a new multiparameter averaging result for Siegel transforms on the space of unimodular lattices in which is of independent interest.
Keywords
Cite
@article{arxiv.1407.3573,
title = {Spherical averages of Siegel transforms for higher rank diagonal actions and applications},
author = {Jayadev S. Athreya and Anish Ghosh and Jimmy Tseng},
journal= {arXiv preprint arXiv:1407.3573},
year = {2015}
}
Comments
New title. Added comments concerning number fields (see Section 5)