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Lattice Points in Convex Bodies with Planar Points on the Boundary
被引：0
作者：
Manfred Peter
机构：
[1] Albert-Ludwigs-Universität,
[2] Freiburg,undefined
[3] Germany,undefined
关键词：
2000 Mathematics Subject Classification: 11P21;
Key words: Lattice points;
convex body;
zero of curvature;
D O I：
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中图分类号：
学科分类号：
摘要：
An asymptotic formula is proved for the number of lattice points in large threedimensional convex bodies. In contrast to the usual assumption the Gaussian curvature of the boundary may vanish at non-isolated points. It is only assumed that the second fundamental form vanishes at isolated points where the tangent plane is rational and some ellipticity condition holds.
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页码：37 / 57
页数：20
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