New upper bound for lattice covering by spheres

Abstract We show that there exists a lattice covering of by Euclidean spheres of equal radius with density as , where This improves upon the previously best known upper bound by Rogers from 1959 of , where .

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Publication Details

Journal
Mathematika
Published
2025-12-22
DOI
https://doi.org/10.1112/mtk.70066
Primary Topic
Mathematical Approximation and Integration
Type
article
Field-Weighted Citation Impact
0.00

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article

New upper bound for lattice covering by spheres

Mathematika
Mathematical Approximation and Integration
article

New upper bound for lattice covering by spheres

article en

Abstract

Abstract We show that there exists a lattice covering of by Euclidean spheres of equal radius with density as , where This improves upon the previously best known upper bound by Rogers from 1959 of , where .

MathematikaVol. 72(1)
University of Science and Technology of China (CN), University of Warwick (GB), Department of Mathematical Sciences (RU)
National Natural Science Foundation of China
Openalex Percentile: Top 27%
Mathematical Approximation and Integration
DOIOpen Access PDFOpenAlex
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New upper bound for lattice covering by spheres · Mathematika (2025) | TGRS Research Map | TGRS