On the number of lattice points in a ball

Authors :: Vaaler, Jeffrey D
Source :: Communications in Mathematics, Volume 31 (2023), Issue 2 (Special issue: Euclidean lattices: theory and applications) (June 5, 2023) cm:11119
Publication Year :: 2023
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.

Database :: arXiv
Journal :: Communications in Mathematics, Volume 31 (2023), Issue 2 (Special issue: Euclidean lattices: theory and applications) (June 5, 2023) cm:11119
Publication Type :: Report
Accession number :: edsarx.2303.14905
Document Type :: Working Paper
Full Text :: https://doi.org/10.46298/cm.11119