Spherical averages of Siegel transforms for higher rank diagonal actions and applications
classification
🧮 math.DS
math.NT
keywords
siegeltransformsactionsapplicationsapproximatesapproximationaveragesaveraging
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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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