%0 Journal Article
%T On tensor product $L$-functions and Langlands functoriality
%J Bulletin of the Iranian Mathematical Society
%I Springer and the Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Jiang, D.
%D 2017
%\ 08/30/2017
%V 43
%N Issue 4 (Special Issue)
%P 169-189
%! On tensor product $L$-functions and Langlands functoriality
%K Automorphic representations
%K $L$-functions
%K Langlands functoriality
%K endoscopy
%K automorphic descent
%R
%X 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.
%U http://bims.iranjournals.ir/article_1160_03dd4521392196a1f7b944668e6e4a80.pdf