3 papers
math.NT2026
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…
math.RT2025
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…
math.RT2025
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…