4 papers
Extreme values of derivatives of Dirichlet -functions
Xinghua Cui, Zhifeng Peng, Yutong Song +1
In this paper, we establish lower bounds for extreme values of derivatives of Dirichlet \(L\)-functions in the range \(1/2<Ï<1\). Compared with the work of Aistleitner, Mahatab, M…
On the central derivatives of l-functions and modularity of heenger cycles
Tuoping Du, Zhifeng Peng
This paper establishes an arithmetic intersection formula for central L-derivatives in higher weights.We prove that for a general cusp form (extending the previous result for newfo…
The trace formula of GL(3)
Xinghua Cui, Haoyang Wang, Zhifeng Peng
The trace formula constitutes a fundamental tool in the Langlands program. In general, Arthur introduced a truncation operator to render both the geometric and spectral sides of th…
The coarse trace formula of GL(4)
Haoyang Wang, Xinghua Cui, Zhifeng Peng
Trace formula is an important method to study the Langlands program. Arthur obtains the existence of stable trace formula for connected reductive group. In this paper, we will give…