On the number of lattice points in a ball

Q3 Mathematics

Communications in Mathematics Pub Date : 2023-03-27 DOI:10.46298/cm.11119

Jeffrey D. Vaaler

引用次数: 1

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.

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关于球中格点的数目

我们证明了一个相当普遍的不等式，它估计了欧几里得空间中正半径球在一般位置上的格点数量。在由具有有界算子范数的矩阵诱导的格上，界是一致的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.