In this paper, we survey our work on period, poles or special values of certain automorphic Lfunctions and their relations to certain types of Langlands functorial transfers. We outline proofs for some results and leave others as conjectures.

In this paper, we summarize the basic structures and properties of irreducible symplectic supercuspidal representations of GLn(F ) over a p-adic local field F with characteristic zero, and explore possible topics for further investigation.