\[\zeta\left(z|\mathbb{L}_{\mspace{1.0mu}2}\right)-\zeta\left(z+2K|\mathbb{L}_{%
\mspace{1.0mu}2}\right)+\zeta\left(2K|\mathbb{L}_{\mspace{1.0mu}2}\right)=%
\operatorname{ds}\left(z,k\right),\]