The number of points from a random lattice that lie inside a ball
Number Theory
2013-11-13 v1
Abstract
We prove a sharp bound for the remainder term of the number of lattice points inside a ball, when averaging over a compact set of (not necessarily unimodular) lattices, in dimensions two and three. We also prove that such a bound cannot hold if one averages over the space of all lattices.
Cite
@article{arxiv.1311.2865,
title = {The number of points from a random lattice that lie inside a ball},
author = {Samuel Holmin},
journal= {arXiv preprint arXiv:1311.2865},
year = {2013}
}
Comments
29 pages