Visible lattice points in the sphere

DOI10.1016/j.jnt.2006.11.010zbMath1132.11051OpenAlexW2044868212MaRDI QIDQ2466032

Fernando Chamizo, Adrián Ubis, E. Cristóbal

Publication date: 11 January 2008

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.11.010

zbMATH Keywords

primitive lattice points\(\Omega\)-resultssphere problem

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Lattice points in specified regions (11P21) Irregularities of distribution, discrepancy (11K38)

Related Items (6)

From prima quadraginta octant to lattice sphere through primitive integer operations ⋮ The linking number in systems with periodic boundary conditions ⋮ On the characterization of absentee-voxels in a spherical surface and volume of revolution in \({\mathbb Z}^3\) ⋮ Simultaneous visibility in the integer lattice ⋮ The sphere problem and the \(L\)-functions ⋮ On the polyhedra of graceful spheres and circular geodesics

Cites Work

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• Eisenstein series of \(1\over 2\)-integral weight and the mean value of real Dirichlet L-series
• The mean square of Dirichlet series associated with automorphic forms
• On the primitive circle problem
• On the sphere problem
• Primitive lattice points inside an ellipse
• Mean square limit for lattice points in a sphere
• Counting Lattice Points in The Sphere
• ON SUMS OF THREE SQUARES

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