Currently displaying 1 – 19 of 19

Showing per page

Order by Relevance | Title | Year of publication

Lattice points in super spheres

Ekkehard Krätzel — 1999

Commentationes Mathematicae Universitatis Carolinae

In this article we consider the number R k , p ( x ) of lattice points in p -dimensional super spheres with even power k 4 . We give an asymptotic expansion of the d -fold anti-derivative of R k , p ( x ) for sufficiently large d . From this we deduce a new estimation for the error term in the asymptotic representation of R k , p ( x ) for p < k < 2 p - 4 .

Lattice points in some special three-dimensional convex bodies with points of Gaussian curvature zero at the boundary

Ekkehard Krätzel — 2002

Commentationes Mathematicae Universitatis Carolinae

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.

Page 1

Download Results (CSV)