Dihua Jiang

activity

20042023

most citedTowards the Jacquet Conjecture on the Local Converse Problem for

p

-adic

GL_{n}

27 citations · 93 across the 29 of their papers we have counts for

collaborators

29 papers

math.NT2023★ 1 cited

The Voronoi Summation Formula for $GL_{n}$ and the Godement-Jacquet Kernels

Dihua Jiang, Zhaolin Li

Let $A$ be the ring of adeles of a number field $k$ and $π$ be an irreducible cuspidal automorphic representation of $GL_{n} (A)$ . In the previous work of t…

math.RT2022★ 2 cited

Arithmetic Wavefront Sets and Generic $L$ -packets

Dihua Jiang, Dongwen Liu, Lei Zhang

Let $G$ be a classical group defined over a local field $F$ of characteristic zero. Let $π$ be an irreducible admissible representation $π$ of $G (F)$ , which is of Casselman-Wallach…

math.RT2021★ 3 cited

Certain Fourier Operators on $GL_{1}$ and Local Langlands Gamma functions

Dihua Jiang, Zhilin Luo

For a split reductive group $G$ over a number field $k$ , let $ρ$ be an $n$ -dimensional complex representation of its complex dual group $G^{\lor} (C)$ . For any irreducible cu…

math.NT2021

On Wave Front Sets of Global Arthur Packets of Classical Groups: Upper Bound

Dihua Jiang, Baiying Liu

We prove a conjecture of the first-named author ([J14]) on the upper bound Fourier coefficients of automorphic forms in Arthur packets of all classical groups over any number field…

math.NT2020★ 6 cited

Harmonic Analysis and Gamma Functions on Symplectic Groups

Dihua Jiang, Zhilin Luo, Lei Zhang

Over a $p$ -adic local field $F$ of characteristic zero, we develop a new type of harmonic analysis on an extended symplectic group $G = G_{m} \times S p_{2 n}$ . It is a…

math.NT2019★ 1 cited

Erratum to "On the Non-vanishing of the Central Value of the Rankin-Selberg L-functions"

David Ginzburg, Dihua Jiang, Baiying Liu +1

We complete the proof of Proposition 5.3 of [GJR04].

The Voronoi Summation Formula for GLn​ and the Godement-Jacquet Kernels

Arithmetic Wavefront Sets and Generic L-packets