Asymptotics of variance of the lattice point count

被引：0

作者：

Jiří Janáček

机构：

[1] Academy of Sciences of the Czech Republic,Institute of Physiology

来源：

Czechoslovak Mathematical Journal | 2008年 / 58卷

关键词：

point lattice; Fourier transform; volume; variance;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The variance of the number of lattice points inside the dilated bounded set rD with random position in ℝd has asymptotics ∼ rd−1 if the rotational average of the squared modulus of the Fourier transform of the set is O(ϰ−d−1). The asymptotics follow from Wiener’s Tauberian theorem.

引用

页码：751 / 758

页数：7

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