Lattice points in \(d\)-dimensional spherical segments

DOI10.1007/s00605-020-01447-yzbMath1470.11250arXiv1912.10462OpenAlexW3092574109MaRDI QIDQ2220390

Martin Ortiz Ramirez

Publication date: 22 January 2021

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.10462

zbMATH Keywords

Diophantine approximationdiscrete geometrylattice points on spheres

Mathematics Subject Classification ID

Lattice points in specified regions (11P21) Diophantine approximation in probabilistic number theory (11K60)

Related Items (1)

Cesaro summation by spheres of lattice sums and Madelung constants

Cites Work

• Nodal intersections for random waves against a segment on the 3-dimensional torus
• Restriction of toral eigenfunctions to hypersurfaces and nodal sets
• Hyperbolic distribution problems and half-integral weight Maass forms
• Nodal length fluctuations for arithmetic random waves
• The Leray measure of nodal sets for random eigenfunctions on the torus
• Close Lattice Points on Circles
• Asymptotic distribution of nodal intersections for arithmetic random waves
• Random Waves On $\mathbb T^3$: Nodal Area Variance and Lattice Point Correlations
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