3 papers
math.NT2019
Poissonian pair correlation on manifolds via the heat kernel
Peter J. Grabner, Tetiana A. Stepanyuk
We define a notion of Poissonian pair correlation (PPC) for Riemannian manifolds without boundary and prove that PPC implies uniform distribution in this setting. This extends earl…
math.CA2017
A Note on Some Approximation Kernels on the Sphere
Peter J. Grabner
We produce precise estimates for the Kogbetliantz kernel for the approximation of functions on the sphere. Furthermore, we propose and study a new approximation kernel, which has s…
math.NT2011
Redundancy of minimal weight expansions in Pisot bases
Peter J. Grabner, Wolfgang Steiner
Motivated by multiplication algorithms based on redundant number representations, we study representations of an integer as a sum , where the digits are…