Variance of lattice point counting in some special shells in $\mathbb{R}^d$
Number Theory
2020-09-22 v1
Abstract
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 . The proof relies on estimates of the Fourier transform of indicator functions of convex domains.
Cite
@article{arxiv.2009.09293,
title = {Variance of lattice point counting in some special shells in $\mathbb{R}^d$},
author = {Tao Jiang},
journal= {arXiv preprint arXiv:2009.09293},
year = {2020}
}