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On a question of Sárkozy and Sós for bilinear forms
dc.contributor.author | Cilleruelo, Javier |
dc.contributor.author | Rué Perna, Juan José |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2010-07-23T11:51:58Z |
dc.date.available | 2010-07-23T11:51:58Z |
dc.date.created | 2009-02-02 |
dc.date.issued | 2009-02-02 |
dc.identifier.citation | Cilleruelo, J.; Rue, J. On a question of Sárkozy and Sós for bilinear forms. "Bulletin of the London Mathematical Society", 02 Febrer 2009, vol. 41, núm. 2, p. 274-280. |
dc.identifier.issn | 0024-6093 |
dc.identifier.uri | http://hdl.handle.net/2117/8374 |
dc.description.abstract | We prove that if 2 ≤ k1 ≤ k2, then there is no infinite sequence $\emph{A}$ of positive integers such that the representation function r(n)=#{(a, a'): n=$k{_1}a$ + $k{_2}a'$, a,a' ∊ $\emph{A}$} is constant for n large enough. This result completes previous work of Dirac and Moser for the special case $k_1$ = 1 and answers a question posed by Sárkozy and Sós. |
dc.format.extent | 7 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 numèrica::Mètodes numèrics |
dc.subject.lcsh | Bilinear forms |
dc.subject.lcsh | Representations of algebras |
dc.subject.lcsh | Number theory |
dc.title | On a question of Sárkozy and Sós for bilinear forms |
dc.type | Article |
dc.subject.lemac | Anàlisi numèrica |
dc.subject.lemac | Àlgebra, Representació d' |
dc.subject.lemac | Funcions algèbriques |
dc.relation.publisherversion | http://www.uam.es/personal_pdi/ciencias/cillerue/Papers/On%20a%20question%20of%20Sarkozy%20and%20Sos.pdf |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 2580373 |
dc.description.version | Postprint (published version) |
local.citation.author | Cilleruelo, J.; Rue, J. |
local.citation.publicationName | Bulletin of the London Mathematical Society |
local.citation.volume | 41 |
local.citation.number | 2 |
local.citation.startingPage | 274 |
local.citation.endingPage | 280 |
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