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arXiv:2203.16086 [math.NT]AbstractReferencesReviewsResources

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

Zikang Dong, Bin Wei

Published 2022-03-30Version 1

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.

Comments: 6 pages
Categories: math.NT
Subjects: 11M06, 11N37
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