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Adjoint L-Functions for GL(3) and U2,1

  • University of Calgary

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)324-381
Number of pages58
JournalInternational Mathematics Research Notices
Volume2021
Issue number1
DOIs
StatePublished - Jan 1 2021

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