hurwitz_zeta( z , a )

The Hurwitz zeta function of z in SageMath. Defined by

$\zeta (z,a) = \sum_{k=0}^\infty \frac{ 1 }{ (k+a)^z }$

Related to zeta by $$\zeta (z,1) = \zeta (z)$$.

Plot on the real axis: