Eine Bemerkung zum Primzahlsatz. (A remark concerning the prime number theorem)
type: Item
instance of: scholarly article
title: Eine Bemerkung zum Primzahlsatz. (A remark concerning the prime number theorem)
zbMATH Open document ID: 0556.10028
DOI: 10.1007/BF01339233
author: Dieter Wolke
published in: Monatshefte für Mathematik
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178258
review text: It is shown that the function \(\zeta^{1/k}(s)\) (k large) can be used to derive the prime number theorem from the known zero-free regions for the Riemann zeta-function. For the proof no upper bound for \(| \zeta '(s)/\zeta (s)|\) is required.
Mathematics Subject Classification ID: 11N05
Mathematics Subject Classification ID: 11M06
zbMATH DE Number: 3886003
zbMATH Keywords: prime number theorem
zbMATH Keywords: zero-free regions
zbMATH Keywords: Riemann zeta-function
MaRDI profile type: Publication
cites work: Q4752704
description: scientific article; zbMATH DE number 3886003