Qinghua Pi

activity

20172020

most citedCentral values of twisted base change

L

-functions associated to Hilbert modular forms

1 citations · 1 across the 1 of their papers we have counts for

collaborators

4 papers

math.NT2020

Bias of Root Numbers for Modular Newforms of Cubic Level

Qinghua Pi, Zhi Qi

Let $H_{2 k}^{\pm} (N^{3})$ denote the set of modular newforms of cubic level $N^{3}$ , weight $2 k$ , and root number $\pm 1$ . For $N > 1$ squarefree and $k > 1$ , we use an analytic method…

math.NT2019

Simple Fourier Trace Formulas of Cubic Level and Applications

Qinghua Pi, Yingnan Wang, Lei Zhang

With the method of the relative trace formula and the classification of simple supercuspidal representations, we establish some Fourier trace formulas for automorphic forms on $PGL…

math.NT2018

Central Values of $G L (2) \times G L (3)$ Rankin-Selberg $L$ -functions with Applications

Qinghua Pi

Let $f$ be a normalized holomorphic cusp form for $S L_{2} (Z)$ of weight $k$ with $k \equiv 0 mod 4$ . By the Kuznetsov trace formula for $G L_{3} (R)$ , we obtain the first…

math.NT2017★ 1 cited

Central values of twisted base change $L$ -functions associated to Hilbert modular forms

Qinghua Pi

We use relative trace formula to prove a non-vanishing result and a subconvexity result for the twisted base change $L$ -functions associated to Hilbert modular forms whose local co…

Bias of Root Numbers for Modular Newforms of Cubic Level

Simple Fourier Trace Formulas of Cubic Level and Applications

Central Values of GL(2)×GL(3) Rankin-Selberg L-functions with Applications

Central values of twisted base change L-functions associated to Hilbert modular forms

Central Values of $G L (2) \times G L (3)$ Rankin-Selberg $L$ -functions with Applications

Central values of twisted base change $L$ -functions associated to Hilbert modular forms