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^*

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Analysis und Zahlentheorie (5010)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

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.

Originalsprache	englisch
Seiten (von - bis)	486-510
Seitenumfang	25
Fachzeitschrift	Mathematika
Jahrgang	68
Ausgabenummer	2
DOIs	https://doi.org/10.1112/mtk.12130
Publikationsstatus	Veröffentlicht - Apr. 2022

ASJC Scopus subject areas

Allgemeine Mathematik

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10.1112/mtk.12130Lizenz: CC BY-ND 4.0

mathematika_yang_22_12130Endgültige, publizierte Fassung, 224 KBLizenz: CC BY-ND 4.0

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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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