The Riemann hypothesis. A resource for the afficionado and virtuoso alike
type: Item
instance of: scholarly article
title: The Riemann hypothesis. A resource for the afficionado and virtuoso alike
zbMATH Open document ID: 1132.11047
DOI: 10.1007/978-0-387-72126-2
published in: CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC
publication date: 2007-05-14T00:00:00Z
review text: This book is intended as a reference work on the Riemann Hypothesis (RH). It proves some of the basic theorems on the Riemann Zeta-function, and describes many more. These cover, in the first part of the book, analytic preliminaries, algorithms for calculating \(\zeta(s)\), evidence for RH, statements equivalent to RH, generalizations of RH, deductions from RH, and attempts to prove RH. The first part of the book concludes with a formulary and a timeline. The second, longer, part of the book contains reproductions of four survey articles, by Bombieri, Sarnak, Conrey and Ivić, and 20 significant original research papers. This book will undoubtedly be extremely useful for anyone making a serious study of the zeta-function, and especially those with an interest in the historical development of the subject. The choice of material is good, and the discussion is helpful. Many of the papers reproduced are difficult to track down nowadays, and anyone working in the area will benefit from a study of them. Overall this is a book which belongs on the shelves of anyone interested in the RH.
Mathematics Subject Classification ID: 11M26
Mathematics Subject Classification ID: 11-02
Mathematics Subject Classification ID: 11-03
Mathematics Subject Classification ID: 00B60
zbMATH DE Number: 5152436
zbMATH Keywords: Riemann hypothesis
zbMATH Keywords: book
zbMATH Keywords: history
zbMATH Keywords: original aricles
reviewed by: D. R. Heath-Brown
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-0-387-72126-2
OpenAlex ID: W2477451100
Wikidata QID: Q55898606
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description: scientific article; zbMATH DE number 5152436