10 citations · 12 across the 5 of their papers we have counts for
4 papers · 1 filter
Inhomogeneous Diophantine approximation for generic homogeneous functions
Dmitry Kleinbock, Mishel Skenderi
The present paper is a sequel to [Monatsh.~Math.\ {\bf 194} (2021), 523--554] in which results of that paper are generalized so that they hold in the setting of inhomogeneous Dioph…
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…
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…
Khintchine-type theorems for values of subhomogeneous functions at integer points
Dmitry Kleinbock, Mishel Skenderi
This work has been motivated by recent papers that quantify the density of values of generic quadratic forms and other polynomials at integer points, in particular ones that use Ro…