Extreme values of derivatives of the Riemann zeta function

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

Detalles Bibliográficos
Autor principal: Yang, Daodao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: John Wiley and Sons Inc. 2022
Materias:
Research Articles
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10234456/
https://www.ncbi.nlm.nih.gov/pubmed/37273419
http://dx.doi.org/10.1112/mtk.12130
_version_ 1785052498686377984
author Yang, Daodao
author_facet Yang, Daodao
author_sort Yang, Daodao
collection PubMed
description It is proved that if T is sufficiently large, then uniformly for all positive integers [Formula: see text] , we have [Formula: see text] where γ is the Euler constant. We also establish lower bounds for maximum of [Formula: see text] when [Formula: see text] and [Formula: see text] are fixed.
format Online
Article
Text
id pubmed-10234456
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher John Wiley and Sons Inc.
record_format MEDLINE/PubMed
spelling pubmed-102344562023-06-02 Extreme values of derivatives of the Riemann zeta function Yang, Daodao Mathematika Research Articles It is proved that if T is sufficiently large, then uniformly for all positive integers [Formula: see text] , we have [Formula: see text] where γ is the Euler constant. We also establish lower bounds for maximum of [Formula: see text] when [Formula: see text] and [Formula: see text] are fixed. John Wiley and Sons Inc. 2022-04-16 2022-04 /pmc/articles/PMC10234456/ /pubmed/37273419 http://dx.doi.org/10.1112/mtk.12130 Text en © 2022 The Authors. Mathematika is copyright © University College London and published by the London Mathematical Society on behalf of University College London. https://creativecommons.org/licenses/by/4.0/This is an open access article under the terms of the http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Articles
Yang, Daodao
Extreme values of derivatives of the Riemann zeta function
title Extreme values of derivatives of the Riemann zeta function
title_full Extreme values of derivatives of the Riemann zeta function
title_fullStr Extreme values of derivatives of the Riemann zeta function
title_full_unstemmed Extreme values of derivatives of the Riemann zeta function
title_short Extreme values of derivatives of the Riemann zeta function
title_sort extreme values of derivatives of the riemann zeta function
topic Research Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10234456/
https://www.ncbi.nlm.nih.gov/pubmed/37273419
http://dx.doi.org/10.1112/mtk.12130
work_keys_str_mv AT yangdaodao extremevaluesofderivativesoftheriemannzetafunction

Ejemplares similares