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 Re(s) ≥ 1/2 for a cuspidal automorphic representation of GL3 over a number field. This improves the main result of [21]. We obtain more general results for twisted adjoint L-functions of both GL3 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.
| Original language | English |
|---|---|
| Pages (from-to) | 324-381 |
| Number of pages | 58 |
| Journal | International Mathematics Research Notices |
| Volume | 2021 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1 2021 |
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