de Mathématiques de Luminy
Irregularities of distribution of digital (0,1)-sequences in prime base.
In this paper, as an application of our recent results to appear elsewhere , we compare digital (0,1) -sequences generated by nonsingular upper triangular matrices in arbitrary prime bases to van der Corput sequences and show these last ones are the worst distributed with respect to the star discrepancy, the extreme discrepancy, the L2-discrepancy and the diaphony. Moreover, we obtain digital (0,1)-sequences in arbitrary prime bases with very good extreme discrepancy, quite comparable to the best generalized van der Corput sequences already found in preceding studies ( and).
Submitted to Integer: Electronic Journal of combinatorial Number Theory.