Barnes zeta function
From specialfunctionswiki
The Barnes zeta function is $$\zeta_N(s,w|a_1,\ldots,a_N)=\displaystyle\sum_{n_1,\ldots,n_N \geq 0} \dfrac{1}{(w+n_1a_1+\ldots+n_Na_N)^s}.$$
The Barnes zeta function is $$\zeta_N(s,w|a_1,\ldots,a_N)=\displaystyle\sum_{n_1,\ldots,n_N \geq 0} \dfrac{1}{(w+n_1a_1+\ldots+n_Na_N)^s}.$$
