A mean-square bound concerning the lattice discrepancy of a torus in \(\mathbb R^3\)

DOI10.1007/s10474-009-9165-zzbMath1218.11091OpenAlexW2005531581MaRDI QIDQ532095

Víctor Cuauhtemoc García, Werner Georg Nowak

Publication date: 26 April 2011

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

Full work available at URL: https://doi.org/10.1007/s10474-009-9165-z

zbMATH Keywords

torusexponential sumlattice pointmean-square

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 (1)

Integer Points in Large Bodies

Cites Work

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• The lattice point discrepancy of a torus in \(\mathbb R^3\)
• Mean square discrepancy bounds for the number of lattice points in large convex bodies
• 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

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