Aliquot Sequence Research  2.0
Compute properties of the sum-of-proper-divisors function.
pollpom_kparent Directory Reference
Directory dependency graph for pollpom_kparent:
pollpom_kparent

Files

file  pollpom_kparent.c
 This program implements an generaliztion of Conj. 1.4 of Pollack/Pomerance "Some problems of Erdos on the Sum of Divisors Function" Instead of estimating the natural density of only aliqout orphans this program also estimates the density of k-parent aliquot numbers n is a k-parent aliqout number iff there are k distinct natural numbers m st s(m) = n An aliquot orphan is a 0-parent aliquot number let delta-k be the estimated density of k-parent aliquot numbers and s(n) be the sum-of-proper-divisors function delta-k = 1/log(bound) * sum(forall a <= bound)( (a^(k-1) * e^(-a/s(a)) / k! * s(a)^k) )
 
file  pollpom_kparent.h [code]
 
file  pollpom_kparent_cli.c