Sums of dilates
| dc.creator | Bukh, Boris | |
| dc.date | 2007-11-11 | |
| dc.date | 2008-04-03 | |
| dc.date.accessioned | 2026-07-07T09:29:47Z | |
| dc.date.available | 2026-07-07T09:29:47Z | |
| dc.description | The lambda-dilate of a set A is lambda*A={lambda a : a \in A}. We give an asymptotically sharp lower bound on the size of sumsets of the form lambda_1*A+...+lambda_k*A for arbitrary integers lambda_1,...,lambda_k and integer sets A. We also establish an upper bound for such sums, which is similar to, but often stronger than Plunnecke's inequality. | |
| dc.description | 14 pages, typos and small errors fixed | |
| dc.identifier | https://arxiv.org/abs/0711.1610 | |
| dc.identifier | http://arxiv.org/abs/0711.1610 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157914 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 11B75, 11H99, 05D99 | |
| dc.title | Sums of dilates | |
| dc.type | text |