Higher moment formulae and limiting distributions of lattice points
Number Theory
2024-11-20 v4 Probability
Abstract
We prove functional limit theorems for lattice point counting for affine and congruence lattices using the method of moments. Our main tools are higher moment formulae for Siegel transforms on the corresponding homogeneous spaces, which we believe to be of independent interest.
Keywords
Cite
@article{arxiv.2111.00848,
title = {Higher moment formulae and limiting distributions of lattice points},
author = {Mahbub Alam and Anish Ghosh and Jiyoung Han},
journal= {arXiv preprint arXiv:2111.00848},
year = {2024}
}
Comments
39 pages