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

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 Added by Tao Jiang
 Publication date 2020
  fields
and research's language is English
 Authors Tao Jiang




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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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