On the mean lattice point discrepancy of a convex disc

DOI10.1007/s00013-002-8242-0zbMath1013.11065OpenAlexW2030923718MaRDI QIDQ1599481

Werner Georg Nowak

Publication date: 10 June 2002

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-002-8242-0

zbMATH Keywords

convex planar domainlattice point discrepancy

Mathematics Subject Classification ID

Lattice points in specified regions (11P21) Irregularities of distribution, discrepancy (11K38)

Related Items (7)

Quadratic estimates for the number of integer points in convex bodies ⋮ Refined Spectral Properties of Dirichlet and Neumann Problems for the Laplace Operator in a Rectangular Domain ⋮ Lattice points in a circle for generic unimodular shears ⋮ Mixed $L^{p}(L^{2})$ norms of the lattice point discrepancy ⋮ On the distribution of powers of Gaussian integers ⋮ Mean lattice point discrepancy bounds. II: Convex domains in the plane ⋮ Primitive lattice points inside an ellipse

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