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On the Discrepancy of Point Distributions on Spheres and Hyperbolic Spaces

✍ Scribed by Akos Magyar

Publisher
Springer Vienna
Year
2002
Tongue
English
Weight
95 KB
Volume
136
Category
Article
ISSN
0026-9255

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πŸ“œ SIMILAR VOLUMES

On the distribution of lattice points on
On the distribution of lattice points on spheres and level surfaces of polynomials
✍ Akos Magyar πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 168 KB

The irregularities of distribution of lattice points on spheres and on level surfaces of polynomials are measured in terms of the discrepancy with respect to caps. It is found that the discrepancy depends on diophantine properties of the direction of the cap. If the direction of the cap is diophanti