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Lattice Points, Dedekind Sums, and Ehrhart Polynomials of Lattice Polyhedra

โœ Scribed by Chen


Publisher
Springer
Year
2002
Tongue
English
Weight
202 KB
Volume
28
Category
Article
ISSN
0179-5376

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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