3 papers
math.NT2026
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…
math.NT2026
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…
math.NT2025
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…