Extreme values of derivatives of the Riemann zeta function

Daodao Yang

doi:10.1112/mtk.12130

Extreme values of derivatives of the Riemann zeta function

Daodao Yang^*

^*Corresponding author for this work

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

Abstract

It is proved that if T is sufficiently large, then uniformly for all positive integers (Formula presented.), we have (Formula presented.) where γ is the Euler constant. We also establish lower bounds for maximum of (Formula presented.) when (Formula presented.) and (Formula presented.) are fixed.

Original language	English
Pages (from-to)	486-510
Number of pages	25
Journal	Mathematika
Volume	68
Issue number	2
DOIs	https://doi.org/10.1112/mtk.12130
Publication status	Published - Apr 2022

ASJC Scopus subject areas

General Mathematics

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title = "Extreme values of derivatives of the Riemann zeta function",

abstract = "It is proved that if T is sufficiently large, then uniformly for all positive integers (Formula presented.), we have (Formula presented.) where γ is the Euler constant. We also establish lower bounds for maximum of (Formula presented.) when (Formula presented.) and (Formula presented.) are fixed.",

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AB - It is proved that if T is sufficiently large, then uniformly for all positive integers (Formula presented.), we have (Formula presented.) where γ is the Euler constant. We also establish lower bounds for maximum of (Formula presented.) when (Formula presented.) and (Formula presented.) are fixed.

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Extreme values of derivatives of the Riemann zeta function

Abstract

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