Variance of lattice point counting in some special shells in \(\mathbb{R}^d\)
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Publication:2043476
DOI10.1016/j.jnt.2021.03.013zbMath1478.11115arXiv2009.09293OpenAlexW3156885351WikidataQ114157056 ScholiaQ114157056MaRDI QIDQ2043476
Publication date: 2 August 2021
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.09293
Geometric probability and stochastic geometry (60D05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Lattice points in specified regions (11P21)
Cites Work
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- The lattice discrepancy of certain three-dimensional bodies
- Lattice points in rotated convex domains
- The lattice discrepancy of bodies bounded by a rotating Lamé's curve
- Convex hypersurfaces and Fourier transforms
- On the number of lattice points between two enlarged and randomly shifted copies of an oval
- A panorama of discrepancy theory
- Estimates for the Fourier transform of the characteristic function of a convex set
- Integer Points in Large Bodies
- Exponential Sums and Lattice Points III
- A note on lattice points and optimal stretching
- Convex Bodies The Brunn-MinkowskiTheory
- A Lattice-Point Problem. II