On the Distribution of Square-full and Cube-full Numbers.
Lattice points in elliptic paraboloids.
Die Wertevertailung Der Anzahl Der Nicht-Isomorphen Abelschen Gruppen Endlicher Ordnung Und Ein Verwandtes Zahlenteoretisches Problem
Weighted lattice points in threedimensional convex bodies and the number of lattice points in parts of elliptic paraboloids.
Theorie der Gitterpunkte.
Kubische und biquadratische Gaußsche Summen.
Ein Teilerproblem.
Zweifache Exponentialsummen und dreidimensionale Gitterpunktprobleme
Mittlere Darstellungen natürlicher Zahlen als Differenz zweier k-ter Potenzen
On the average number of direct factors of a finite Abelian group
The distribution of powerful integers of type 4
Ein Gitterpunktsproblem
Lattice points in super spheres
In this article we consider the number of lattice points in -dimensional super spheres with even power . We give an asymptotic expansion of the -fold anti-derivative of for sufficiently large . From this we deduce a new estimation for the error term in the asymptotic representation of for .
Lattice points in some special three-dimensional convex bodies with points of Gaussian curvature zero at the boundary
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.
Mittlere Darstellungen natürlicher Zahlen als Summe von -ten Potenzen
Gitterpunkte in Superkugeln
On certain arithmetic functions involving the greatest common divisor
The paper deals with asymptotics for a class of arithmetic functions which describe the value distribution of the greatest-common-divisor function. Typically, they are generated by a Dirichlet series whose analytic behavior is determined by the factor ζ2(s)ζ(2s − 1). Furthermore, multivariate generalizations are considered.
Lattice points in large convex bodies, II
Primitive lattice points in a thin strip along the boundary of a large convex planar domain
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