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Keywords:
convex bodies; lattice points; points with Gaussian curvature zero
convex bodies; lattice points; points with Gaussian curvature zero
Summary:
We investigate the number of lattice points in special three-dimensional convex bodies. They are called convex bodies of pseudo revolution, because we have in one special case a body of revolution and in another case even a super sphere. These bodies have lines at the boundary, where all points have Gaussian curvature zero. We consider the influence of these points to the lattice rest in the asymptotic representation of the number of lattice points.
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