Difference between revisions of "Sum of divisors"
From specialfunctionswiki
| Line 4: | Line 4: | ||
=Properties= | =Properties= | ||
| + | [[Sum of divisors functions written in terms of partition function]]<br /> | ||
=References= | =References= | ||
Latest revision as of 20:50, 26 June 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 $n$.
Properties
Sum of divisors functions written in terms of partition function
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $24.3.3 I.A.$
