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The least common multiple of random sets of positive integers
dc.contributor.author | Cilleruelo, Javier |
dc.contributor.author | Rué Perna, Juan José |
dc.contributor.author | Sarka, Paulius |
dc.contributor.author | Zumalacárregui, Ana |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2016-05-06T10:12:00Z |
dc.date.available | 2016-11-02T01:30:39Z |
dc.date.issued | 2014-11-01 |
dc.identifier.citation | Cilleruelo, J., Rue, J., Sarka, P., Zumalacárregui, A. The least common multiple of random sets of positive integers. "Journal of number theory", 01 Novembre 2014, vol. 144, p. 92-104. |
dc.identifier.issn | 0022-314X |
dc.identifier.uri | http://hdl.handle.net/2117/86680 |
dc.description.abstract | We study the typical behavior of the least common multiple of the elements of a random subset A¿{1,…,n}. For example we prove that lcm{a:a¿A}=2n(1+o(1)) for almost all subsets A¿{1,…,n} |
dc.format.extent | 13 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 | Number theory |
dc.subject.other | least common multiple |
dc.subject.other | random sequences |
dc.title | The least common multiple of random sets of positive integers |
dc.type | Article |
dc.subject.lemac | Nombres, Teoria dels |
dc.identifier.doi | 10.1016/j.jnt.2014.04.011 |
dc.rights.access | Open Access |
local.identifier.drac | 17752675 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Cilleruelo, J.; Rue, J.; Sarka, P.; Zumalacárregui, A. |
local.citation.publicationName | Journal of number theory |
local.citation.volume | 144 |
local.citation.startingPage | 92 |
local.citation.endingPage | 104 |
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