Zhilin Luo

activity

20142025

most citedHarmonic Analysis and Gamma Functions on Symplectic Groups

6 citations · 15 across the 12 of their papers we have counts for

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5 papers · 1 filter

math.NT2024

Nonabelian Fourier Kernels on $SL_{2}$ and $GL_{2}$

Zhilin Luo, Ngo Bao Chau

For $G = SL_{2}$ or $GL_{2}$ , we present explicit formulas for the nonabelian Fourier kernels on $G$ , as conjectured by A. Braverman and D. Kazhdan. Additionally, we fu…

math.NT2022★ 1 cited

The local Gross-Prasad conjecture over $R$ : Epsilon dichotomy

Cheng Chen, Zhilin Luo

Following the work of Jean-Loup Waldspurger, we prove the epsilon dichotomy part of the local Gross-Prasad conjecture over $R$ for tempered local $L$ -parameters.

math.NT2021

Bias of Root Numbers for Hilbert Newforms of Cubic Level

Zhilin Luo, Qinghua Pi, Han Wu

We give a general formula of the bias of root numbers for Hilbert modular newforms of cubic level. Explicit calculation is given when the base field is $\mathbb{Q}, \mathbb{Q}(\sqr…

math.NT2020★ 6 cited

Harmonic Analysis and Gamma Functions on Symplectic Groups

Dihua Jiang, Zhilin Luo, Lei Zhang

Over a $p$ -adic local field $F$ of characteristic zero, we develop a new type of harmonic analysis on an extended symplectic group $G = G_{m} \times S p_{2 n}$ . It is a…

math.NT2018★ 2 cited

On the Braverman-Kazhdan Proposal for Local Factors: Spherical Case