In the spirit of the Langlands proposal on Beyond Endoscopy we discuss the explicit relation between the Langlands functorial transfers and automorphic $L$-functions. It is well-known that the poles of the $L$-functions have deep impact to the Langlands functoriality. Our discussion also includes the meaning of the central value of the tensor product $L$-functions in terms of the Langlands functoriality. This leads to the theory of the twisted automorphic descents for cuspidal automorphic representations of general classical groups.
Jiang, D. (2017). On tensor product $L$-functions and Langlands functoriality. Bulletin of the Iranian Mathematical Society, 43(Issue 4 (Special Issue)), 169-189.
MLA
D. Jiang. "On tensor product $L$-functions and Langlands functoriality". Bulletin of the Iranian Mathematical Society, 43, Issue 4 (Special Issue), 2017, 169-189.
HARVARD
Jiang, D. (2017). 'On tensor product $L$-functions and Langlands functoriality', Bulletin of the Iranian Mathematical Society, 43(Issue 4 (Special Issue)), pp. 169-189.
VANCOUVER
Jiang, D. On tensor product $L$-functions and Langlands functoriality. Bulletin of the Iranian Mathematical Society, 2017; 43(Issue 4 (Special Issue)): 169-189.