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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 \(1/2<σ<1\). Compared with the work of Aistleitner, Mahatab, Mu…
math.NT2026
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…