论文标题
在$ \ mathbb {r}^d $中的某些特殊外壳中计数晶格点的差异
Variance of lattice point counting in some special shells in $\mathbb{R}^d$
论文作者
论文摘要
我们研究了随机变量的差异,该变量计算了$ \ Mathbb r^d $中特殊类型类型域产生的某些壳体中的晶格点数。证明依赖于凸域指标函数的傅立叶变换的估计值。
We study the variance of the random variable that counts the number of lattice points in some shells generated by a special class of finite type domains in $\mathbb R^d$. The proof relies on estimates of the Fourier transform of indicator functions of convex domains.