On the distribution of lattice points on spheres and level surfaces of polynomials
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Publication:863957
DOI10.1016/j.jnt.2006.03.006zbMath1119.11046OpenAlexW1983513681MaRDI QIDQ863957
Publication date: 12 February 2007
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2006.03.006
Related Items (13)
From prima quadraginta octant to lattice sphere through primitive integer operations ⋮ On the characterization of absentee-voxels in a spherical surface and volume of revolution in \({\mathbb Z}^3\) ⋮ Counting intrinsic Diophantine approximations in simple algebraic groups ⋮ Discrete restriction estimates for forms in many variables ⋮ Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres ⋮ \(\ell^p\)-improving for discrete spherical averages ⋮ Maximal functions and ergodic averages related to Waring's problem ⋮ On the polyhedra of graceful spheres and circular geodesics ⋮ \(\ell^p(\mathbb{Z}^d)\)-improving properties and sparse bounds for discrete spherical maximal averages ⋮ Bounds for Lacunary maximal functions given by Birch–Magyar averages ⋮ On the ergodic Waring-Goldbach problem ⋮ The discrete spherical averages over a family of sparse sequences ⋮ On the Distribution of Solutions to Diophantine Equations
Cites Work
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- Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids
- Discrete analogues in harmonic analysis: spherical averages
- On the discrepancy of point distributions on spheres and hyperbolic spaces
- Über die Gleichverteilung von Gitterpunkten auf m-dimensionalen Ellipsoiden
- Cubic Forms in Ten Variables
- Diophantine equations and ergodic theorems
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