Qing Zhang

activity

20152023

most citedA local converse theorem for U(1,1)

14 citations · 49 across the 14 of their papers we have counts for

collaborators

14 papers

math.RT2023★ 2 cited

On a refined local converse theorem for SO(4)

Pan Yan, Qing Zhang

Recently, Hazeltine-Liu, and independently Haan-Kim-Kwon, proved a local converse theorem for $SO_{2 n} (F)$ over a $p$ -adic field $F$ , which says that, up to an outer autom…

math.RT2021

Toward the endoscopic classification of unipotent representations of $p$ -adic $G_{2}$

Clifton Cunningham, Andrew Fiori, Qing Zhang

We begin this paper by reviewing the Langlands correspondence for unipotent representations of the exceptional group of type $G_{2}$ over a $p$ -adic field $F$ and present it in an ex…

math.NT2020

On a Rankin-Selberg integral of the L-function for $S L_{2} \times G L_{2}$

Qing Zhang

We present a Rankin-Selberg integral on the exceptional group $G_{2}$ which represents the L-function for generic cuspidal representations of $S L_{2} \times G L_{2}$ . As an app…

math.RT2020★ 6 cited

Arthur packets for $G_{2}$ and perverse sheaves on cubics

Clifton Cunningham, Andrew Fiori, Qing Zhang

This paper begins the project of defining Arthur packets of all unipotent representations for the $p$ -adic exceptional group $G_{2}$ . Here we treat the most interesting case by defin…

math.RT2018

On a converse theorem for $G_{2}$ over finite fields

Baiying Liu, Qing Zhang

In this paper, we prove certain multiplicity one theorems and define twisted gamma factors for irreducible generic cuspidal representations of split $G_{2}$ over finite fields $k$ of…

math.RT2018

Uniqueness of certain Fourier-Jacobi models over finite fields

Baiying Liu, Qing Zhang

In this paper, we prove the uniqueness of certain Fourier-Jacobi models for the split exceptional group $G_{2}$ over finite fields with odd characteristic. Similar results are also p…

math.NT2018★ 2 cited

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

Joseph Hundley, Qing Zhang

We show that the finite part of the adjoint $L$ function (including contributions from all nonarchimedean places, including ramified places) is holomorphic in $ℜ (s) \geq 1/2$ for…

math.RT2017

A local converse theorem for $U_{2 r + 1}$

Qing Zhang

Let $E / F$ be a quadratic extension of $p$ -adic fields and $U_{2 r + 1}$ be the unitary group associated with $E / F$ . We prove the following local converse theorem for $\textrm…

math.RT2017★ 1 cited

A local converse theorem for $Sp_{2 r}$

Qing Zhang

In this paper, we prove the local converse theorem for $Sp_{2 r} (F)$ over a $p$ -adic field $F$ . More precisely, given two irreducible supercuspidal representations of $\tex…

math.NT2016

On the dependence of the local Rankin-Selberg gamma factors of $Sp_{2 n} \times GL_{m}$ on $ψ$

Qing Zhang

Let $F$ be a $p$ -adic field and $π$ be an irreducible smooth representation of $Sp_{2 n} (F)$ . In this paper, we show that if $π$ and $π^{κ}$ are both generic for a common gen…

math.NT2015★ 8 cited

Stability of Rankin-Selberg gamma factors for $Sp (2 n)$ , $Sp (2 n)$ and $U (n, n)$

Qing Zhang

Let $F$ be a $p$ -adic field and $E / F$ be a quadratic extension. In this paper, we prove the stability of Rankin-Selberg gamma factors for $Sp_{2 n} (F)$ , $\widetilde {\textr…

math.NT2015★ 6 cited

A strong multiplicity one theorem for SL(2)

Jingsong Chai, Qing Zhang

It is known that multiplicity one property holds for SL(2), while the strong multiplicity one property fails. However, in this paper, we show that if we require further that a pair…

math.NT2015★ 10 cited

A local converse Theorem for U(2,2)

Qing Zhang

Let $F$ be a $p$ -adic field and $E / F$ be a quadratic extension. In this paper, we prove the local converse theorem for generic representations of $U_{E / F} (2, 2)$ if $E / F$ i…

math.NT2015★ 14 cited

A local converse theorem for U(1,1)

Qing Zhang

In this paper, we define a $γ$ -factor for generic representations of $\RU(1,1)\times \Res_{E/F}(\GL_1)$ and prove a local converse theorem for $\RU(1,1)$ using the $γ$ -factor we de…

On a refined local converse theorem for SO(4)

Toward the endoscopic classification of unipotent representations of p-adic G2​

On a Rankin-Selberg integral of the L-function for SL2​×GL2​

Arthur packets for G2​ and perverse sheaves on cubics

On a converse theorem for G2​ over finite fields

Uniqueness of certain Fourier-Jacobi models over finite fields

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

A local converse theorem for U2r+1​

A local converse theorem for Sp2r​

On the dependence of the local Rankin-Selberg gamma factors of Sp2n​×GLm​ on ψ

Stability of Rankin-Selberg gamma factors for Sp(2n), Sp​(2n) and U(n,n)

A strong multiplicity one theorem for SL(2)

A local converse Theorem for U(2,2)

A local converse theorem for U(1,1)

Toward the endoscopic classification of unipotent representations of $p$ -adic $G_{2}$

On a Rankin-Selberg integral of the L-function for $S L_{2} \times G L_{2}$

Arthur packets for $G_{2}$ and perverse sheaves on cubics

On a converse theorem for $G_{2}$ over finite fields

A local converse theorem for $U_{2 r + 1}$

A local converse theorem for $Sp_{2 r}$

On the dependence of the local Rankin-Selberg gamma factors of $Sp_{2 n} \times GL_{m}$ on $ψ$

Stability of Rankin-Selberg gamma factors for $Sp (2 n)$ , $Sp (2 n)$ and $U (n, n)$