huer_model Directory Reference

Files
file	huer_model.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(max_bound) * sum(forall a <= max_bound)( (a^(k-1) * e^(-a/s(a)) / k! * s(a)^k) )