Variance of lattice point counting in some special shells in $\mathbb{R}^d$

Tao Jiang

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arXiv · 2009.09293

Variance of lattice point counting in some special shells in $\mathbb{R}^d$

Tao Jiang

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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 $\mathbb R^d$. The proof relies on estimates of the Fourier transform of indicator functions of convex domains.

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Tao Jiang. 2020-09-19. Variance of lattice point counting in some special shells in $\mathbb{R}^d$. https://arxiv.org/abs/2009.09293

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