Higher moment formulae and limiting distributions of lattice points
type: Item
instance of: scholarly article
title: Higher moment formulae and limiting distributions of lattice points
author: Mahbub Alam
author: Anish Ghosh
author: Jiyoung Han
published in: Journal of the Institute of Mathematics of Jussieu
publication date: 2024-11-13T00:00:00Z
Mathematics Subject Classification ID: 11N45
Mathematics Subject Classification ID: 22F30
zbMATH DE Number: 7943183
zbMATH Keywords: lattice point counting
zbMATH Keywords: geometry of numbers
zbMATH Keywords: Brownian motion
zbMATH Keywords: central limit theorem
zbMATH Keywords: Siegel transform
zbMATH Keywords: higher moments
MaRDI profile type: Publication
cites work: Quantitative Diophantine approximation with congruence conditions
cites work: Q4269108
cites work: The Distribution of Directions in an Affine Lattice: Two-Point Correlations and Mixed Moments
cites work: Values of inhomogeneous forms at S ‐integral points
cites work: Effective Density for Inhomogeneous Quadratic Forms I: Generic Forms and Fixed Shifts
cites work: Asymptotic distribution of values of isotropic here quadratic forms at \(S\)-integral points
cites work: Rogers' mean value theorem for \(S\)-arithmetic Siegel transforms and applications to the geometry of numbers
cites work: Random Lattice Vectors in a Set of Size O(n)
cites work: The $\bm{n}$-point correlations between values of a linear form
cites work: The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems
cites work: Volumes of S-arithmetic quotients of semi-simple groups. With an appendix by Moshe Jarden and Gopal Prasad
cites work: Mean values over the space of lattices
cites work: The moments of the number of points of a lattice in a bounded set
cites work: Two Integral Inequalities
cites work: The Number of Lattice Points in a Set
cites work: On the Convergence of Mean Values Over Lattices
cites work: Measure theory in the geometry of numbers
cites work: A Metrical Theorem In Geometry of Numbers
cites work: A mean value theorem in geometry of numbers
cites work: Q3995481
cites work: On the generalized circle problem for a random lattice in large dimension
cites work: On the Poisson distribution of lengths of lattice vectors in a random lattice
DOI: 10.1017/S147474802300035X
description: scientific article; zbMATH DE number 7943183