Yao Cheng

activity

20182026

most citedOn Deligne's conjecture for certain automorphic

L

-functions for

GL (3) \times GL (2)

4 citations · 7 across the 10 of their papers we have counts for

collaborators

10 papers

math.RT2026

Local newforms for generic representations of $p$ -adic $SO_{2 n + 1}$ : Reduction

Yao Cheng

We prove that if the space of newforms is non-zero for every irreducible generic supercuspidal representation of $SO_{2 n + 1}$ then it is also non-zero for all irreducible gene…

math.NT2026

Whittaker functions on $GL_{n}$ via theta lifting

Shih-Yu Chen, Yao Cheng

In the literature, two main approaches have been used to establish explicit formulas or propagation formulas for Whittaker functions over Archimedean local fields: one based on Jac…

math.NT2025

Local newforms for generic representations of $p$ -adic $SO_{2 n + 1}$ : Uniqueness

Yao Cheng

The conjectural theory of local newofmrs for the split $p$ -adic group $SO_{2 n + 1}$ , proposed by Gross, predicts that the space of local newforms in a generic representation is…

math.RT2023

On gamma factors of generic representations of $U_{2 n + 1} \times Res_{E / F} GL_{r}$

Yao Cheng, Chian-Jen Wang

In this article we prove that the gamma factors attached to generic representations of $U_{2 n + 1} \times Res_{E / F} GL_{r}$ over a local field $F$ defined by various app…

math.RT2022

Local newforms for generic representations of unramified $U_{2 n + 1}$ and Rankin-Selberg integrals

Yao Cheng

Recently Atobe-Oi-Yasuda established the newform theory for irreducible tempered generic representations of unramified $U_{2 n + 1}$ over non-archimedean local fields. In this p…

math.NT2022

On the Rankin-Selberg $L$ -factors for $SO_{5} \times GL_{2}$

Yao Cheng

Let $π$ and $τ$ be a smooth generic representation of $SO_{5}$ and $GL_{2}$ respectively over a non-archimedean local field. Assume that $π$ is irreducible and $τ$ is irred…

math.NT2021

Rankin-Selberg integrals for $SO_{2 n + 1} \times GL_{r}$ attached to Newforms and Oldforms

Yao Cheng

The conjectural newform theory for generic representations of $p$ -adic $SO_{2 n + 1}$ was formulated by P.-Y. Tsai in her thesis in which Tsai also verified the conjecture when…

math.NT2018★ 3 cited

Gamma factors for Asai representations of $GL_{2}$

Shih-Yu Chen, Yao Cheng, Isao Ishikawa

Let $E$ be a quadratic semisimple extension of a local field $F$ of characteristic zero. We determine explicit relation between gamma factors for Asai representations of $R_{E/F}{\…

math.NT2018

Special value formula for the twisted triple product $L$ -function and an application to the restricted $L^{2}$ -norm problem

Yao Cheng

We establish explicit Ichino's formulae for the central values of the triple product $L$ -functions with emphasis on the calculations for the real place. The key ingredient for our…

math.NT2018★ 4 cited

On Deligne's conjecture for certain automorphic $L$ -functions for $GL (3) \times GL (2)$

Shih-Yu Chen, Yao Cheng

We prove Deligne's conjecture for central critical values of certain automorphic $L$ -functions for $GL (3) \times GL (2)$ . The proof is base on rationality results for cen…

Local newforms for generic representations of p-adic SO2n+1​: Reduction

Whittaker functions on GLn​ via theta lifting

Local newforms for generic representations of p-adic SO2n+1​: Uniqueness

On gamma factors of generic representations of U2n+1​×ResE/F​GLr​

Local newforms for generic representations of unramified U2n+1​ and Rankin-Selberg integrals

On the Rankin-Selberg L-factors for SO5​×GL2​

Rankin-Selberg integrals for SO2n+1​×GLr​ attached to Newforms and Oldforms

Gamma factors for Asai representations of GL2​

Special value formula for the twisted triple product L-function and an application to the restricted L2-norm problem

On Deligne's conjecture for certain automorphic L-functions for GL(3)×GL(2)

Local newforms for generic representations of $p$ -adic $SO_{2 n + 1}$ : Reduction

Whittaker functions on $GL_{n}$ via theta lifting

Local newforms for generic representations of $p$ -adic $SO_{2 n + 1}$ : Uniqueness

On gamma factors of generic representations of $U_{2 n + 1} \times Res_{E / F} GL_{r}$

Local newforms for generic representations of unramified $U_{2 n + 1}$ and Rankin-Selberg integrals

On the Rankin-Selberg $L$ -factors for $SO_{5} \times GL_{2}$

Rankin-Selberg integrals for $SO_{2 n + 1} \times GL_{r}$ attached to Newforms and Oldforms

Gamma factors for Asai representations of $GL_{2}$

Special value formula for the twisted triple product $L$ -function and an application to the restricted $L^{2}$ -norm problem

On Deligne's conjecture for certain automorphic $L$ -functions for $GL (3) \times GL (2)$