On the friable mean-value of the Erdős–Hooley Delta function
Résumé
For integer n and real u, define ∆(n, u) := |{d : d | n, e^u < d ⩽ e^(u+1) }|. Then, the Erdős-Hooley Delta function is defined as ∆(n) := max_{u∈R} ∆(n, u). We provide uniform upper and lower bounds for the mean-value of ∆(n) over friable integers, i.e. integers free of large prime factors.
Origine : Fichiers produits par l'(les) auteur(s)