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

collaborators

Showing 2021Show all

3 papers · 1 filter

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.RT2021★ 2 cited

Certain Fourier Operators and their Associated Poisson Summation Formulae on $GL_{1}$

Dihua Jiang, Zhilin Luo

In this paper, we explore a possibility to utilize harmonic analysis on $\GL_1$ to understand Langlands automorphic $L$ -functions in general, as a vast generalization of the pionee…

math.RT2021★ 3 cited

Certain Fourier Operators on $GL_{1}$ and Local Langlands Gamma functions

Dihua Jiang, Zhilin Luo

For a split reductive group $G$ over a number field $k$ , let $ρ$ be an $n$ -dimensional complex representation of its complex dual group $G^{\lor} (C)$ . For any irreducible cu…

Bias of Root Numbers for Hilbert Newforms of Cubic Level

Certain Fourier Operators and their Associated Poisson Summation Formulae on GL1​

Certain Fourier Operators on GL1​ and Local Langlands Gamma functions

Certain Fourier Operators and their Associated Poisson Summation Formulae on $GL_{1}$

Certain Fourier Operators on $GL_{1}$ and Local Langlands Gamma functions