New versions of the Nyman-Beurling criterion for the Riemann hypothesis
type: Item
instance of: scholarly article
title: New versions of the Nyman-Beurling criterion for the Riemann hypothesis
zbMATH Open document ID: 1069.11037
DOI: 10.1155/S0161171202013248
author: Luis Báez-Duarte
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-09-05T00:00:00Z
full work available at URL: https://eudml.org/doc/51548
review text: The paper contains a detailed discussion of the Nyman-Beurling criterion for the truth of the quasi-Riemann hypothesis. \[ \zeta(s)\neq 0 \quad\text{for}\quad\sigma=\text{Re}\,s>\frac 1p \] for some \(p\in (1, \infty)\) [Proc. Natl. Acad. Sci. USA 41, 312--314 (1955; Zbl 0065.30303)]. There exist several extensions of the original statement [\textit{H. Bercovici} and \textit{C. Foias}, Isr. J. Math 48, 57--68 (1984; Zbl 0569.46011), \textit{M. Balazard} and \textit{E. Saias}, Adv. Math 139, No. 2, 310--321 (1998; Zbl 0920.11062)]. The author adds some further version of the Nyman-Beurling criterion.
reviewed by: Dieter Wolke
Mathematics Subject Classification ID: 11M26
zbMATH DE Number: 1796602
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1796602