Yao Cheng

collaborators

3 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

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.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…

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

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

Whittaker functions on GLn​ via theta lifting

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

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

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