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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…
Bias of Root Numbers for Modular Newforms of Cubic Level
Qinghua Pi, Zhi Qi
Let denote the set of modular newforms of cubic level , weight , and root number . For squarefree and , we use an analytic method…
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…
Central Values of Rankin-Selberg -functions with Applications
Qinghua Pi
Let be a normalized holomorphic cusp form for of weight with . By the Kuznetsov trace formula for , we obtain the first…
Central values of twisted base change -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 -functions associated to Hilbert modular forms whose local co…