zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
The Riemann hypothesis. A resource for the afficionado and virtuoso alike. (English) Zbl 1132.11047
CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC. New York, NY: Springer (ISBN 978-0-387-72125-5/hbk). xiv, 533 p. EUR 62.95/net; SFR 110.00; $ 79.95; £ 48.50 (2007).

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 ζ(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.

MSC:
11M26Nonreal zeros of ζ(s) and L(s,χ); Riemann and other hypotheses
11-02Research monographs (number theory)
11-03Historical (number theory)
00B60Collections of reprinted articles