Cyclic shifts of the van der Corput set
| dc.creator | Bilyk, Dmitriy | |
| dc.date | 2008-11-12 | |
| dc.date.accessioned | 2026-07-07T10:17:42Z | |
| dc.date.available | 2026-07-07T10:17:42Z | |
| dc.description | In [13], K. Roth showed that the expected value of the $L^2$ discrepancy of the cyclic shifts of the $N$ point van der Corput set is bounded by a constant multiple of $\sqrt{\log N}$, thus guaranteeing the existence of a shift with asymptotically minimal $L^2$ discrepancy, [11]. In the present paper, we construct a specific example of such a shift. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0811.1871 | |
| dc.identifier | http://arxiv.org/abs/0811.1871 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173946 | |
| dc.subject | Number Theory | |
| dc.subject | Functional Analysis | |
| dc.subject | 11K38 (Primary), 42B05 (Secondary) | |
| dc.title | Cyclic shifts of the van der Corput set | |
| dc.type | text |