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Adjoint L-Functions for GL(3) and U2,1.
- Source :
- IMRN: International Mathematics Research Notices; Jan2021, Vol. 2021 Issue 1, p324-381, 58p
- Publication Year :
- 2021
-
Abstract
- We show that the finite part of the adjoint |$L$| -function (including contributions from all non-archimedean places, including ramified places) is holomorphic in |${\textrm{Re}}(s) \ge 1/2$| for a cuspidal automorphic representation of |${\textrm{GL}}_3$| over a number field. This improves the main result of [ 21 ]. We obtain more general results for twisted adjoint |$L$| -functions of both |${\textrm{GL}}_3$| and quasisplit unitary groups. For unitary groups, we explicate the relationship between poles of twisted adjoint |$L$| -functions, endoscopy, and the structure of the stable base change lifting. [ABSTRACT FROM AUTHOR]
- Subjects :
- AUTOMORPHIC functions
UNITARY groups
ENDOSCOPY
Subjects
Details
- Language :
- English
- ISSN :
- 10737928
- Volume :
- 2021
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- IMRN: International Mathematics Research Notices
- Publication Type :
- Academic Journal
- Accession number :
- 148168683
- Full Text :
- https://doi.org/10.1093/imrn/rnz125