2017/06/27 by Weiß, Christian
#11B75 #11K06 #11K31 #11K38 #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1706.08949
This paper adresses the question whether the LS-sequences constructed by Carbone yield indeed a new family of low discrepancy sequences. While it is well known that the case S=0 corresponds to van der Corput sequences, we prove here that the case S=1 can be traced back to two-sided Kronecker sequences and moreover that for S ≥ 2 none of these two types occurs anymore. In addition, our approach allows for an improved discrepancy bound for S=1 and L arbitrary.