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On polynomial representation functions for multivariate linear forms
dc.contributor.author | Rué Perna, Juan José |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2016-05-17T11:46:52Z |
dc.date.available | 2016-05-17T11:46:52Z |
dc.date.issued | 2013-11-01 |
dc.identifier.citation | Rue, J. On polynomial representation functions for multivariate linear forms. "European journal of combinatorics", 01 Novembre 2013, vol. 34, núm. 8, p. 1429-1435. |
dc.identifier.issn | 0195-6698 |
dc.identifier.uri | http://hdl.handle.net/2117/87101 |
dc.description.abstract | Given an infinite sequence of positive integers A, we prove that for every nonnegative integer k the number of solutions of the equation n = a1 +· · ·+ak, a1, . . . , ak ¿ A, is not constant for n large enough. This result is a corollary of our main theorem, which partially answers a question of S´ark¨ozy and S´os on representation functions for multivariate linear forms. Additionally, we obtain an Erd¿os-Fuchs type result for a wide variety of representation functions. |
dc.format.extent | 7 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Algebraic geometry |
dc.title | On polynomial representation functions for multivariate linear forms |
dc.type | Article |
dc.subject.lemac | Geometria algebraica |
dc.identifier.doi | 10.1016/j.ejc.2013.05.017 |
dc.rights.access | Open Access |
local.identifier.drac | 17839069 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Rue, J. |
local.citation.publicationName | European journal of combinatorics |
local.citation.volume | 34 |
local.citation.number | 8 |
local.citation.startingPage | 1429 |
local.citation.endingPage | 1435 |
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