Category:Sum of General Harmonic Numbers in terms of Riemann Zeta Function

This category contains pages concerning Sum of General Harmonic Numbers in terms of Riemann Zeta Function:

$\ds \harm r x - \dfrac 1 {n^r} \sum_{k \mathop = 0}^{n - 1} \harm r {x - \dfrac k n} = \paren {1 - n^{1 - r} } \map \zeta r$