Taiwang Deng

works on

cusp forms 1 functional equation 1 spectral reciprocity 1 symmetric square l-functions 1 trace formulas 1

From the 1 of 6 linked papers with an AI index.

collaborators

6 papers

math.NT2026

Yun's zeta function and the overorder zeta function for Gorenstein cubic orders

Taiwang Deng, Malors Espinosa

For every Gorenstein cubic $Z$ -order, we prove an identity equating Yun's zeta function, defined by counting finite-index submodules of the trace dual, with the explicit ov…

math.NT2026

A trace formula derivation of the functional equation for symmetric square L-functions

Taiwang Deng, Dongsheng Wu

The paper derives the functional equation for symmetric‑square L‑functions of level‑one holomorphic and even Hecke‑Maass cusp forms by directly comparing the spectral and geometric…

math.RT2026

A degenerate Whittaker criterion for $G L_{2 n}$

Taiwang Deng

Let $F$ be a non-Archimedean local field. Let $N$ be the unipotent radical of the standard parabolic subgroup of $G L_{2 n} (F)$ of type $(n, n)$ with fixed nondegenerate addit…

math.RT2026

Stability of the exterior cube $I^^{3}$ -factors for $GL (6)$

Taiwang Deng, Dongming She

We prove the stability of the Langlands-Shahidi local $I^^{3}$ -factor for the exterior cube representation of $GL_{6}$ . More precisely, if $I ¨ _{1}$ and $I ¨ _{2}$ are irreducible admi…

math.NT2026

Beyond Endoscopy for $GL (3, Q)$ : Isolation of the residual spectrum via Poisson Summation

Taiwang Deng, Malors Espinos

We extend to $GL (3, Q)$ the Poisson-summation method developed by Altuğ for $GL (2, Q)$ in Beyond Endoscopy. For a fixed prime and a family of factor…

math.RT2026

Relating Arthur packets of real unitary groups and $p$ -adic symplectic and orthogonal groups

Taiwang Deng, Chang Huang, Bin Xu +1

We establish an explicit correspondence of certain Arthur packets between real unitary groups and $p$ -adic symplectic or orthogonal groups. This allows one to compute Arthur packet…

Yun's zeta function and the overorder zeta function for Gorenstein cubic orders

A trace formula derivation of the functional equation for symmetric square L-functions

A degenerate Whittaker criterion for GL2n​

Stability of the exterior cube I^3-factors for GL(6)

Beyond Endoscopy for GL(3,Q): Isolation of the residual spectrum via Poisson Summation

Relating Arthur packets of real unitary groups and p-adic symplectic and orthogonal groups

A degenerate Whittaker criterion for $G L_{2 n}$

Stability of the exterior cube $I^^{3}$ -factors for $GL (6)$

Beyond Endoscopy for $GL (3, Q)$ : Isolation of the residual spectrum via Poisson Summation

Relating Arthur packets of real unitary groups and $p$ -adic symplectic and orthogonal groups