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math.NT2026
Large values of the Hurwitz zeta function with rational parameter
Qiyu Yang, Shengbo Zhao, Guang-Liang Zhou
In this paper, we establish lower bounds for large values of the Hurwitz zeta function with rational parameter when the real part . These results improve the earlier…
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
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.