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math.NT2021★ 1 cited
Higher-rank pointwise discrepancy bounds and logarithm laws for generic lattices
Seungki Kim, Mishel Skenderi
We prove a higher-rank analogue of a well-known result of W. M. Schmidt concerning almost everywhere pointwise discrepancy bounds for lattices in Euclidean space (see Theorem 1 [Tr…
math.NT2021
Inversion formulae for Siegel transforms
Mishel Skenderi
Let be given. We prove Lebesgue-almost everywhere pointwise inversion formulae for the Siegel transforms in the geometry of numbers. These inversion for…