13 papers
Extreme values of quadratic Dirichlet -functions with prime-related moduli
Zikang Dong, Weijia Wang, Hao Zhang +1
In this paper, we show a new lower bound for extreme values of quadratic Dirichlet -functions with prime-related moduli, which generalizes the work of Darbar and Maiti in 2025,…
Extreme values of quadratic Dirichlet -functions
Zikang Dong, Weijia Wang, Hao Zhang +1
In this paper, we investigate extreme values of quadratic Dirichlet -functions at the central point. We provide new extreme values of as is large, which im…
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…
Some Omega results for Dirichlet -functions
Qiyu Yang, Shengbo Zhao
Motivated by the first author's earlier work in 2024, we use the resonance method to establish some Omega results for Dirichlet -functions, extending the previous results.
Joint extreme values of Dirichlet (L)-functions and their logarithmic derivatives
Shengbo Zhao
In this paper, we establish joint extreme values of Dirichlet (L)-functions and their logarithmic derivatives using the resonance method. Our results extend previous work of Aistle…
Extreme values of derivatives of the Dedekind zeta function of a cyclotomic field
Zhonghua Li, Yutong Song, Qiyu Yang +1
In this paper, we establish a lower bound for the maximum of derivatives of the Dedekind zeta function of a cyclotomic field on the critical line. Employing a double version convol…