5 papers
Extreme values of the real part of the Riemann zeta function
Qiyu Yang, Shengbo Zhao
In this paper, we establish lower bounds for extreme values of the real part of the Riemann zeta function on the critical line. This work relies on the resonance method of Bondaren…
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.
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…
Joint extreme values of the Riemann zeta function at harmonic points
Qiyu Yang, Shengbo Zhao
Using the resonance method, we obtain refined estimates for joint extreme values of the Riemann zeta function at harmonic points, improving upon Levinson's 1972 results and providi…
Large values of derivatives of the Riemann zeta function on vertical homogeneous progressions
Qiyu Yang, Shengbo Zhao
In this paper, we establish lower bounds for the maximum of derivatives of the Riemann zeta function on vertical homogeneous progressions. When the real part lies within a sui…