Sommes friables de fonctions multiplicatives aléatoires
Valeurs moyennes de fonctions multiplicatives sur les entiers friables translatés
Loi de répartition moyenne des diviseurs des entiers friables
In this paper we consider an extension to friable integers of the arcsine law for the mean distribution of the divisors of integers, originally due to Deshouillers, Dress and Tenenbaum. We describe the limit law and show that it departs from the arcsine law when the friability parameter increases. More precisely, as , the mean distribution shifts from the arcsine law towards Gaussian behaviour.
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