The lattice point discrepancy of a torus in \(\mathbb R^3\)

DOI10.1007/s10474-007-7129-8zbMath1174.11079OpenAlexW1986636481MaRDI QIDQ949878

Werner Georg Nowak

Publication date: 21 October 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-007-7129-8

zbMATH Keywords

exponential sumstoruslattice pointsdiscrepancy

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattice points in specified regions (11P21) Irregularities of distribution, discrepancy (11K38)

Related Items (7)

Integer Points in Large Bodies ⋮ The sphere problem and the \(L\)-functions ⋮ Higher order derivative tests for exponential sums incorporating the discrete Hardy-Littlewood method ⋮ A note on lattice points in model domains of finite type in \({\mathbb{R}^d}\) ⋮ A mean-square bound concerning the lattice discrepancy of a torus in \(\mathbb R^3\) ⋮ Lattice points in algebraic cross-polytopes and simplices ⋮ Lattice points in the 3-dimensional torus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The lattice discrepancy of bodies bounded by a rotating Lamé's curve
• Lattice points in convex bodies with planar points on the boundary
• Lattice points in three-dimensional convex bodies with points of Gaussian curvature zero at the boundary
• On the sphere problem
• On the lattice discrepancy of bodies of rotation with boundary points of curvature zero
• Über Integrale auf konvexen Körpern. I, II
• A mean-square bound for the lattice discrepancy of bodies of rotation with flat points on the boundary
• Lattice points in bodies of revolution
• On the number of lattice points in three-dimensional solids of revolution
• Lattice points in large convex bodies

This page was built for publication: The lattice point discrepancy of a torus in \(\mathbb R^3\)