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

Autor: Dong, Zikang, Wei, Bin
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 6 pages
Databáze: arXiv