Aliquot Sequence Research
2.0
Compute properties of the sum-of-proper-divisors function.
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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 |