| dc.contributor.author | Javier, Cilleruelo |
| dc.contributor.author | Hamidoune, Yahya Ould |
| dc.contributor.author | Serra Albó, Oriol |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
| dc.date.accessioned | 2011-03-04T10:52:08Z |
| dc.date.available | 2011-03-04T10:52:08Z |
| dc.date.created | 2009-10-05 |
| dc.date.issued | 2009-10-05 |
| dc.identifier.citation | Javier, C.; O. Hamidoune, Y.; Serra, O. On sums of dilates. "Combinatorics probability and computing", 05 Octubre 2009, vol. 18, núm. 6, p. 871-880. |
| dc.identifier.issn | 0963-5483 |
| dc.identifier.uri | http://hdl.handle.net/2117/11654 |
| dc.description.abstract | For k prime and A a finite set of integers with |A| ≥ $3(k-1)^2$ (k-1)! we prove that |A+k·A| ≥ (k+1)|A| − ⌈k(k+2)/4⌉ where k·A = {ka:a∈A}. We also describe the sets for which equality holds. |
| dc.format.extent | 10 p. |
| dc.language.iso | eng |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica::Teoria de funcions |
| dc.subject.lcsh | Algebraic number theory |
| dc.title | On sums of dilates |
| dc.type | Article |
| dc.subject.lemac | Nombres, Teoria algebraica de |
| dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
| dc.identifier.doi | 10.1017/S0963548309990307 |
| dc.relation.publisherversion | http://journals.cambridge.org/action/displayJournal?jid=CPC |
| dc.rights.access | Open Access |
| local.identifier.drac | 3265886 |
| dc.description.version | Postprint (published version) |
| local.citation.author | Javier, C.; O. Hamidoune, Y.; Serra, O. |
| local.citation.publicationName | Combinatorics probability and computing |
| local.citation.volume | 18 |
| local.citation.number | 6 |
| local.citation.startingPage | 871 |
| local.citation.endingPage | 880 |
