Mean square discrepancy bounds for the number of lattice points in large convex bodies
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Publication:1809913
DOI10.1007/BF02868475zbMath1027.11074arXivmath/0205127OpenAlexW1966562959MaRDI QIDQ1809913
Alexander Iosevich, Andreas Seeger, Eric T. Sawyer
Publication date: 14 January 2004
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0205127
Related Items (10)
Lattice points inside random ellipsoids ⋮ Quadratic estimates for the number of integer points in convex bodies ⋮ On the mean square of the remainder for the Euclidean lattice point counting problem ⋮ Integer Points in Large Bodies ⋮ Lattice points in large convex planar domains of finite type ⋮ Mixed $L^{p}(L^{2})$ norms of the lattice point discrepancy ⋮ Mean lattice point discrepancy bounds. II: Convex domains in the plane ⋮ A mean-square bound concerning the lattice discrepancy of a torus in \(\mathbb R^3\) ⋮ The lattice discrepancy of certain three-dimensional bodies ⋮ Fourier transforms of indicator functions, lattice point discrepancy, and the stability of integrals
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