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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:
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