5 papers · 1 filter
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,…
Large values of quadratic Dirichlet -functions near the central point
Zikang Dong, Zhonghua Li, Yutong Song +1
In this paper, we investigate the conditional large values of the quadratic Dirichlet -functions near the central point . When closes to within a suitable range…
Large values of character sums with multiplicative coefficients
Zikang Dong, Zhonghua Li, Yutong Song +1
In this article, we investigate large values of Dirichlet character sums with multiplicative coefficients . We prove an Omega result in the region $\exp((\lo…
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…
Omega Theorems for Logarithmic Derivatives of Zeta and L-functions Near the 1-line
Zhonghua Li, Shengbo Zhao
We establish an omega theorem for logarithmic derivative of the Riemann zeta function near the 1-line by resonance method. We show that the inequality $\left| ζ^{\prime}\left(σ_A+i…