# How does CL signature work?

I'm studying the CL signature that how can it works. However, I cannot understand how equation (42) is calculated. What is the last three factors?

The value T is as follows:

$$T \leftarrow(A')^{\overset\backsim e} \Biggl(\underset{j \in A_{\overset- r} \cap \mathcal{I}} \prod (R_i)^{\overset\backsim{m_j}}\Biggr)(S^{\overset\backsim v}) \space\space\space (\bmod n)$$