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On the distribution of Farey fractions and hyperbolic lattice points

โœ Scribed by Martin N. Huxley; Anatoly A. Zhigljavsky


Book ID
110335136
Publisher
Springer Netherlands
Year
2001
Tongue
English
Weight
278 KB
Volume
42
Category
Article
ISSN
0031-5303

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On the distribution of lattice points on
โœ Akos Magyar ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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