Geodesic
Lattice points in some special three-dimensional convex bodies with points of Gaussian curvature zero at the boundary
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 4, pp. 755-771 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 11H06, 11P21
Keywords: convex bodies; lattice points; points with Gaussian curvature zero 
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     author = {Kr\"atzel, Ekkehard},
     title = {Lattice points in some special three-dimensional convex bodies with points of {Gaussian} curvature zero at the boundary},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {755--771},
     year = {2002},
     volume = {43},
     number = {4},
     mrnumber = {2046193},
     zbl = {1064.11064},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2002_43_4_a11/}
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Krätzel, Ekkehard. Lattice points in some special three-dimensional convex bodies with points of Gaussian curvature zero at the boundary. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 4, pp. 755-771. http://geodesic.mathdoc.fr/item/CMUC_2002_43_4_a11/