On the number of lattice points in a ball
Number Theory
2024-02-14 v2
Abstract
We prove a fairly general inequality that estimates the number of lattice points in a ball of positive radius in general position in a Euclidean space. The bound is uniform over lattices induced by a matrix having a bounded operator norm.
Cite
@article{arxiv.2303.14905,
title = {On the number of lattice points in a ball},
author = {Jeffrey D Vaaler},
journal= {arXiv preprint arXiv:2303.14905},
year = {2024}
}