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arXiv · 1407.3573

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

Jayadev S. Athreya·Anish Ghosh·Jimmy Tseng
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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 ${\mathbb R}^n$ which is of independent interest.

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Jayadev S. Athreya, Anish Ghosh, Jimmy Tseng. 2014-07-14. Spherical averages of Siegel transforms for higher rank diagonal actions and applications. https://arxiv.org/abs/1407.3573

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