A mean-square bound for the lattice discrepancy of bodies of rotation with flat points on the boundary

DOI10.4064/aa127-3-6zbMath1118.11043arXivmath/0606276OpenAlexW2011665923MaRDI QIDQ3441377

Werner Georg Nowak

Publication date: 30 May 2007

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606276

zbMATH Keywords

bodies of rotationlattice point discrepancymean-square bound

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 (4)

Integer Points in Large Bodies ⋮ The lattice point discrepancy of a torus in \(\mathbb R^3\) ⋮ A mean-square bound concerning the lattice discrepancy of a torus in \(\mathbb R^3\) ⋮ The lattice discrepancy of bodies bounded by a rotating Lamé's curve

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