On the number of lattice points in a ball

Fuente: arXiv
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Auteur principal: Vaaler, Jeffrey D
Format: Preprint
Publié: 2023
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author Vaaler, Jeffrey D
author_facet Vaaler, Jeffrey D
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2303_14905
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On the number of lattice points in a ball
Vaaler, Jeffrey D
Number Theory
11H06, 11J25, 11P21
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.
title On the number of lattice points in a ball
topic Number Theory
11H06, 11J25, 11P21
url https://arxiv.org/abs/2303.14905