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A note on the distribution of integer points on spheres

✍ Scribed by Wenzhi Luo


Publisher
Springer-Verlag
Year
2009
Tongue
French
Weight
136 KB
Volume
267
Category
Article
ISSN
0025-5874

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On the distribution of lattice points on
✍ 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