Lattice points in rotated convex domains

DOI10.4171/RMI/839zbMath1359.52022arXiv1303.4137MaRDI QIDQ748329

Jingwei Guo

Publication date: 20 October 2015

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4137

zbMATH Keywords

Fourier transformlattice pointsconvex domainsvan der Corput's method

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Estimates on exponential sums (11L07) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Lattice points in specified regions (11P21) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items (5)

A note on lattice points in model domains of finite type in \({\mathbb{R}^d}\) ⋮ Discrepancy for convex bodies with isolated flat points ⋮ An improved remainder estimate in the Weyl formula for the planar disk ⋮ Variance of lattice point counting in some special shells in \(\mathbb{R}^d\) ⋮ Variances of surface area estimators based on pixel configuration counts

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