Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

On tensor product $L$-functions and Langlands functoriality

Document Type : Special Issue of BIMS in Honor of Professor Freydoon Shahidi

Author
Abstract
‎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.
 
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Volume 43, Issue 4 (Special Issue)
August 2017
Pages 169-189

  • Receive Date 15 May 2017
  • Revise Date 01 October 2017
  • Accept Date 19 May 2017