Publication
Frisos imperfeitos de números inteiros
| dc.contributor.author | Bessa, Mário | |
| dc.contributor.author | Carvalho, Maria | |
| dc.date.accessioned | 2023-05-30T16:26:44Z | |
| dc.date.available | 2023-05-30T16:26:44Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | A positive density ensures not only that the set is infinite but also that the arrangement of its elements is such that it is possible to find inside it highly symmetric and arbitrarily long blocks of equidistant points. For example, although this is not a necessary condition [1, 4], a set N with positive density must include arbitrarily long arithmetic progressions [3, 2]. That is, given a positive integer k, there are positive integers a,b such that a+jb ∈ N , for all j ∈ {0,...,k}. However, no information is given about the ratio b in the arithmetical progression, and surely not all choices of b are suitable for a fixed set. Nevertheless, a positive density set has to contain, up to an arbitrarily small error, a scaled copy of any finite block of rational numbers of [0, 1], for all scales not bigger than a specified bound. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | M. Bessa, M. Carvalho, Frisos imperfeitos de números inteiros, Boletim Sociedade Portuguesa de Matemática, 67, 2012 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.2/13918 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Sociedade Portuguesa de Matemática | pt_PT |
| dc.relation | Strategic Project - UI 212 - 2011-2012 | |
| dc.relation.publisherversion | https://revistas.rcaap.pt/boletimspm/article/view/3883 | pt_PT |
| dc.subject | Progressão aritmética | pt_PT |
| dc.subject | Densidade positiva | pt_PT |
| dc.subject | Arithemetical progression | pt_PT |
| dc.subject | Positive density | pt_PT |
| dc.title | Frisos imperfeitos de números inteiros | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Strategic Project - UI 212 - 2011-2012 | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/PEst-OE%2FMAT%2FUI0212%2F2011/PT | |
| oaire.citation.endPage | 208 | pt_PT |
| oaire.citation.startPage | 201 | pt_PT |
| oaire.citation.volume | 67 | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| person.familyName | Bessa | |
| person.familyName | Carvalho | |
| person.givenName | Mário | |
| person.givenName | Maria | |
| person.identifier | https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT | |
| person.identifier.ciencia-id | C21A-EEC0-A3EF | |
| person.identifier.ciencia-id | 361B-4DA8-0A98 | |
| person.identifier.orcid | 0000-0002-1758-2225 | |
| person.identifier.orcid | 0000-0001-6929-6442 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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