11 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 \(1/2<σ<1\). Compared with the work of Aistleitner, Mahatab, Mu…
Note on large quadratic character sums
Zikang Dong, Yutong Song, Ruihua Wang +1
In this article, we investigate the conditional large values of quadratic Dirichlet character sums. We prove an Omega result for quadratic character sums under the assumption of th…
Large quadratic character sums with multiplicative coefficients
Zikang Dong, Yutong Song, Weijia Wang +2
In this article, we investigate conditional large values of quadratic Dirichlet character sums with multiplicative coefficients. We prove some Omega results under the assumption of…
Large values of Dirichlet polynomials with multiplicative coefficients
Zikang Dong, Yutong Song, Weijia Wang +2
In this paper, we investigate large values of Dirichlet polynomials with multiplicative coefficients , where for large . We prove an impro…
Large character sums with multiplicative coefficients
Zikang Dong, Yutong Song, Weijia Wang +2
In this paper, we investigate large values of Dirichlet character sums with multiplicative coefficients . We prove a new Omega result in the region $\exp((\l…
Quadratic character sums with multiplicative coefficients
Zikang Dong, Zhonghua Li, Yutong Song +1
In this article, we study extreme values of quadratic character sums with multiplicative coefficients . For a positive number within a suitable range,…