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arXiv · 2203.16086

A note on the large values of $|\zeta^{(\ell)}(1+{\rm i}t)|$

Zikang Dong·Bin Wei
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Abstract

We investigate the large values of the derivatives of the Riemann zeta function $\zeta(s)$ on the 1-line. We give a larger lower bound for $\max_{t\in[T,2T]}|\zeta^{(\ell)}(1+{\rm i} t)|$, which improves the previous result established by Yang.

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Zikang Dong, Bin Wei. 2022-03-30. A note on the large values of $|\zeta^{(\ell)}(1+{\rm i}t)|$. https://arxiv.org/abs/2203.16086

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