Yao Cheng

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20182026

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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.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.NT2018

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

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…

Whittaker functions on GLn​ via theta lifting

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

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)

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

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

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 $GL (3) \times GL (2)$