3 citations · 3 across the 5 of their papers we have counts for
5 papers
On the 3x+1 conjecture
Peter Hellekalek
In this paper, we discuss the well known 3x+1 conjecture in form of the accelerated Collatz function T defined on the positive odd integers. We present a sequence of quotient space…
Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces
Peter Hellekalek, Peter Kritzer, Friedrich Pillichshammer
In this paper, we study quasi-Monte Carlo (QMC) integration in weighted Sobolev spaces. In contrast to many previous results the QMC algorithms considered here are of open type, i.…
The hybrid spectral test
Peter Hellekalek
The starting point of this paper is the interplay between the construction principle of a sequence and the characters of the compact abelian group that underlies the construction.…
A hybrid inequality of Erdös-Turán-Koksma for digital sequences
Peter Hellekalek
For bases of not necessarily distinct integers , we prove a version of the inequality of \etk \ for the hybrid function system composed of…
Adding digit vectors
Peter Hellekalek
In this paper, we study the different possibilities to add two vectors of digits of a given length . Our results show that there are at least different additions of su…