27 citations · 93 across the 29 of their papers we have counts for
10 papers · 1 filter
Arithmetic Wavefront Sets and Generic -packets
Dihua Jiang, Dongwen Liu, Lei Zhang
Let be a classical group defined over a local field of characteristic zero. Let be an irreducible admissible representation of , which is of Casselman-Wallach…
Certain Fourier Operators on and Local Langlands Gamma functions
Dihua Jiang, Zhilin Luo
For a split reductive group over a number field , let be an -dimensional complex representation of its complex dual group . For any irreducible cu…
Archimedean Non-vanishing, Cohomological Test Vectors, and Standard -functions of : Complex Case
Bingchen Lin, Fangyang Tian
The purpose of this paper is to study the local zeta integrals of Friedberg-Jacquet at complex place and to establish similar results to our recent work in the reall case joint wit…
Archimedean Non-vanishing, Cohomological Test Vectors, and Standard -functions of : Real Case
Cheng Chen, Dihua Jiang, Bingchen Lin +1
The standard -functions of expressed in terms of the Friedberg-Jacquet global zeta integrals have better structure for arithmetic applications, due to the rel…
Local Root Numbers and Spectrum of the Local Descents for Orthogonal Groups: p-adic case
Dihua Jiang, Lei Zhang
We investigate the local descents for special orthogonal groups over p-adic local fields of characteristic zero, and obtain an explicit spectral decomposition of the local descents…
Automorphic Integral Transforms for Classical Groups I: Endoscopy Correspondences
Dihua Jiang
A general framework of constructions of endoscopy correspondences via automorphic integral transforms for classical groups is formulated in terms of the Arthur classification of th…