Adjoint L-function for GL(3) and U(2,1)

Adjoint L-function for GL(3) and U(2,1)
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GL(3) 和 U(2,1) 的伴随 L 函数

DOI:
10.1093/imrn/rnz125
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发表时间:
2021
影响因子:
1
通讯作者:
Qing Zhang
Qing Zhang
中科院分区:
数学1区
文献类型:
--
作者:
Joseph Hundley;Qing Zhang

文献摘要

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We show that the finite part of the adjoint-function (including contributions from all non-archimedean places, including ramified places) is holomorphic infor a cuspidal automorphic representation ofover a number field. This improves the main result of . We obtain more general results for twisted adjoint-functions of bothand quasisplit unitary groups. For unitary groups, we explicate the relationship between poles of twisted adjoint-functions, endoscopy, and the structure of the stable base change lifting.