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Local L-Functions for Split Spinor Groups

Published online by Cambridge University Press:  20 November 2018

Mahdi Asgari
Mahdi Asgari*
Affiliation:
Department of Mathematics, The University of Michigan, 525 East University Avenue, Ann Arbor, MI 48109-1109, USA, email: asgari@math.lsa.umich.edu
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Abstract

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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 $\text{G}{{\text{L}}_{2}}\,\times \,\text{G}{{\text{L}}_{3}}$.

Keywords

11F70
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 54 , Issue 4 , 01 August 2002 , pp. 673 - 693
Copyright
Copyright © Canadian Mathematical Society 2002

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