Is there a known function of the form:
$$\zeta(s,a) = \displaystyle\sum_{n=1}^\infty\frac{1}{n^s+a},$$
and if so what is its name?
Is there a known function of the form:
$$\zeta(s,a) = \displaystyle\sum_{n=1}^\infty\frac{1}{n^s+a},$$
and if so what is its name?
Let's assume $a$ is small, i.e. $0Hurwitz zeta-function.