Noncanonical number systems in the integers
| dc.creator | van de Woestijne, Christiaan | |
| dc.date | 2008-04-14 | |
| dc.date.accessioned | 2026-07-07T10:06:57Z | |
| dc.date.available | 2026-07-07T10:06:57Z | |
| dc.description | The well known binary and decimal representations of the integers, and other similar number systems, admit many generalisations. Here, we investigate whether still every integer could have a finite expansion on a given integer base b, when we choose a digit set that does not contain 0. We prove that such digit sets exist and we provide infinitely many examples for every base b with |b|\ge 4, and for b=-2. For the special case b=-2, we give a full characterisation of all valid digit sets. | |
| dc.description | 30 pages, to appear in Journal of Number Theory | |
| dc.identifier | https://arxiv.org/abs/0804.2190 | |
| dc.identifier | http://arxiv.org/abs/0804.2190 | |
| dc.identifier | Journal of Number Theory 128 (2008) 2914-2938 | |
| dc.identifier | doi:10.1016/j.jnt.2008.02.012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170470 | |
| dc.subject | Number Theory | |
| dc.subject | 11A63 | |
| dc.title | Noncanonical number systems in the integers | |
| dc.type | text |