The least common multiple of random sets of positive integers

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Title:	The least common multiple of random sets of positive integers
Author:	Cilleruelo, Javier; Rué Perna, Juan José; Sarka, Paulius; Zumalacárregui, Ana
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques
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}
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Number theory -least common multiple -random sequences -Nombres, Teoria dels
Rights:	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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