Difference between revisions of "Sum of divisors"

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$$\sigma_x(n) = \displaystyle\sum_{d|n} d^x,$$
 
$$\sigma_x(n) = \displaystyle\sum_{d|n} d^x,$$
 
where $d|n$ denotes that $d$ is a [[divisor]] of $n$.
 
where $d|n$ denotes that $d$ is a [[divisor]] of $n$.
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[[Category:SpecialFunction]]

Revision as of 18:49, 24 May 2016

The sum of positive divisors function, $\sigma_x$, is defined by $$\sigma_x(n) = \displaystyle\sum_{d|n} d^x,$$ where $d|n$ denotes that $d$ is a divisor of $n$.