Definition:Hurwitz Zeta Function

Definition

The Hurwitz zeta function is a generalisation of the Riemann zeta function. It is defined for $\map \Re s > 1$ and $\map \Re q > 0$, by:

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

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Source of Name

This entry was named for Adolf Hurwitz.