\[\zeta\left(z\right)-\frac{\eta_{1}z}{\omega_{1}}-\frac{\pi}{2\omega_{1}}\cot%
\left(\frac{\pi z}{2\omega_{1}}\right)=\frac{2\pi}{\omega_{1}}\sum_{n=1}^{%
\infty}\frac{q^{2n}}{1-q^{2n}}\sin\left(\frac{n\pi z}{\omega_{1}}\right).\]