Category:Definitions/Hurwitz Zeta Function

This category contains definitions related to the Hurwitz zeta function.
Related results can be found in Category:Hurwitz Zeta Function.

The Hurwitz zeta function is defined for $\set {\map \Re s > 1, a \ne 0, -1, -2, \cdots}$ as the series:

$\ds \map \zeta {s, a} = \sum_{n \mathop = 0}^\infty \frac 1 {\paren {n + a}^s}$