3 citations · 3 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…