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math.NT2022
Poisson approximation and Weibull asymptotics in the geometry of numbers
Michael Björklund, Alexander Gorodnik
Minkowski's First Theorem and Dirichlet's Approximation Theorem provide upper bounds on certain minima taken over lattice points contained in domains of Euclidean spaces. We study…
math.NT2017★ 2 cited
Central limit theorems in the geometry of numbers
Michael Björklund, Alexander Gorodnik
We investigate in this paper the distribution of the discrepancy of various lattice counting functions. In particular, we prove that the number of lattice points contained in certa…