Zhonghua Li

collaborators

4 papers

math.NT2026

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…

math.NT2025

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 $\sum_{n \leq N} f (n) I ¨ _{d} (n)$ . For a positive number $N$ within a suitable range…

math.NT2025

Large values of quadratic Dirichlet $L$ -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 $L$ -functions near the central point $s = 1/2$ . When $I ¨ $ closes to $1/2$ within a suitable rang…

math.NT2025

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 $\sum_{n \leq N} f (n) I ¨ (n)$ . We prove an Omega result in the region $\exp((\l…

Extreme values of derivatives of the Dedekind zeta function of a cyclotomic field

Quadratic character sums with multiplicative coefficients

Large values of quadratic Dirichlet L-functions near the central point

Large values of character sums with multiplicative coefficients

Large values of quadratic Dirichlet $L$ -functions near the central point