Langlands-Shahidi $L$-functions for $GSpin$ groups and the generic Arthur 
packet conjecture

Kim, Yeansu

doi:10.1090/tran/8258

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Langlands-Shahidi $L$-functions for $GSpin$ groups and the generic Arthur packet conjecture

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Kim, Yeansu
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1090/tran/8258
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Citation

Kim, Y. (2021). Langlands-Shahidi $L$-functions for $GSpin$ groups and the generic Arthur packet conjecture. Transactions of the American Mathematical Society, 374(4), 2559-2580. doi:10.1090/tran/8258.

Cite as: https://hdl.handle.net/21.11116/0000-0008-7FF2-9

Abstract

We prove that $L$-functions from Langlands-Shahidi method in the case of $GSpin$ groups over a non-Archimedean local field of characteristic zero are Artin $L$-functions through the local Langlands correspondence. It has an application on the proof of a weak version of the generic Arthur packet
conjecture. Furthermore, we study and describe a local $L$-packet that contains
a generic member in the case of $GSpin$ groups. Using this description of a local $L$-packet, we strengthen a weak version of the generic Arthur packet conjecture in those cases (local version of the generalized Ramanujan conjecture).