Extreme values of the real part of the Riemann zeta function

Qiyu Yang; Shengbo Zhao

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arXiv · 2607.03654

Extreme values of the real part of the Riemann zeta function

Qiyu Yang·Shengbo Zhao

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Abstract

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 Bondarenko and Seip, together with lower bounds for certain integrals associated with Dirichlet series with non-negative coefficients. Our results extend the work of Bondarenko and Seip (2018).

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Qiyu Yang, Shengbo Zhao. 2026-07-04. Extreme values of the real part of the Riemann zeta function. https://arxiv.org/abs/2607.03654

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