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# Local $L$-Functions for Split Spinor Groups

Published:2002-08-01
Printed: Aug 2002
• Mahdi Asgari
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## Abstract

We study the local $L$-functions for Levi subgroups in split spinor groups defined via the Langlands-Shahidi method and prove a conjecture on their holomorphy in a half plane. These results have been used in the work of Kim and Shahidi on the functorial product for $\GL_2 \times \GL_3$.
 MSC Classifications: 11F70 - Representation-theoretic methods; automorphic representations over local and global fields