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arXiv:1407.3573 [math.DS]AbstractReferencesReviewsResources

Spherical averages of Siegel transforms for higher rank diagonal actions and applications

Jayadev S. Athreya, Anish Ghosh, Jimmy Tseng

Published 2014-07-14, updated 2015-01-05Version 2

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 ${\mathbb R}^n$ which is of independent interest.

Comments: New title. Added comments concerning number fields (see Section 5)
Categories: math.DS, math.NT
Subjects: 37A17, 11K60
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