Translational tilings of the integers with long periods
| dc.creator | Kolountzakis, Mihail N. | |
| dc.date | 2002-10-31 | |
| dc.date.accessioned | 2026-07-07T04:52:31Z | |
| dc.date.available | 2026-07-07T04:52:31Z | |
| dc.description | Suppose that A is a finite set of integers of diameter D. Suppose also that the set of integers B is such that A+B is a tiling of the integers, that is each integer is uniquely expressible as a+b, with a in A, b in B. It is well known that B must be a periodic set in this case. Here we study the relationship between the diameter D of A and the least period T of B. We show that T is at most C exp(C \sqrt D \log D \sqrt{\log\log D}) and that we can have T at least quadratic in D. | |
| dc.description | 6 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0210476 | |
| dc.identifier | http://arxiv.org/abs/math/0210476 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65492 | |
| dc.subject | Combinatorics | |
| dc.subject | Number Theory | |
| dc.title | Translational tilings of the integers with long periods | |
| dc.type | text |