Category:General Harmonic Numbers

This category contains results about General Harmonic Numbers.
Definitions specific to this category can be found in Definitions/General Harmonic Numbers.

Let $r \in \R_{>0}$.

For $n \in \N_{> 0}$ the harmonic numbers order $r$ are defined as follows:

$\ds \map {H^{\paren r} } n = \sum_{k \mathop = 1}^n \frac 1 {k^r}$