On the number of lattice points in a ball

Jeffrey D Vaaler

doi:10.46298/cm.11119

Jeffrey D Vaaler - On the number of lattice points in a ball

cm:11119 - Communications in Mathematics, June 5, 2023, Volume 31 (2023), Issue 2 (Special issue: Euclidean lattices: theory and applications) - https://doi.org/10.46298/cm.11119

On the number of lattice points in a ballArticle

Authors: Jeffrey D Vaaler

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.

https://doi.org/10.46298/cm.11119

Source: arXiv.org:2303.14905

Volume: Volume 31 (2023), Issue 2 (Special issue: Euclidean lattices: theory and applications)

Published on: June 5, 2023

Accepted on: April 26, 2023

Submitted on: March 28, 2023

Keywords: Mathematics - Number Theory, 11H06, 11J25, 11P21

Licence: arXiv.org - Non-exclusive license to distribute