divisor sum of an arithmetic function

Given an arithmetic functionMathworldPlanetmath f:+, the divisor sum F of f is defined by

F(n)=dnf(d), (1)

where the summation runs over all positive divisorsMathworldPlanetmathPlanetmath d of n.

Title divisor sum of an arithmetic function
Canonical name DivisorSumOfAnArithmeticFunction
Date of creation 2013-03-22 17:07:31
Last modified on 2013-03-22 17:07:31
Owner azdbacks4234 (14155)
Last modified by azdbacks4234 (14155)
Numerical id 10
Author azdbacks4234 (14155)
Entry type Definition
Classification msc 11A25
Related topic Divisibility
Related topic ArithmeticFunction
Related topic MultiplicativeFunction
Defines divisor sum