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arXiv · 1507.07156

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

Yeansu Kim
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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).

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Yeansu Kim. 2015-07-26. Langlands-Shahidi $L$-functions for $GSpin$ groups and the generic Arthur packet conjecture. https://arxiv.org/abs/1507.07156

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