divisor sum of an arithmetic function

Given an arithmetic function $f:{\mathbb{Z}}^{+}\to ℂ$, the divisor sum $F$ of $f$ is defined by

$$F(n)=\sum _{d\mid n}f(d)\text{,}$$ (1)

where the summation runs over all positive divisors $d$ 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