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

preprint2022arXivOpen access

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

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

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A note on the large values of ∣ζ(ℓ)(1+it)∣|ζ^{(\ell)}(1+{\rm i}t)|∣ζ(ℓ)(1+it)∣

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