For integer n and real u, define Δ(n,u)≔|{d:d∣n,eu<d⩽eu+1}|. Then, put Δ(n)≔maxu∈RΔ(n,u). We provide uniform upper and lower bounds for the mean-value of Δ(n) over friable integers, i.e. integers free of large prime factors.
No takes yet. Share an insight, caveat, or question.
Martin et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: