An edition of The Riemann hypothesis (2007)

The Riemann hypothesis

a resource for the afficionado and virtuoso alike

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March 28, 2025 | History
An edition of The Riemann hypothesis (2007)

The Riemann hypothesis

a resource for the afficionado and virtuoso alike

  • 2 Want to read

The Riemann Hypothesis has become the Holy Grail of mathematics in the century and a half since 1859 when Bernhard Riemann, one of the extraordinary mathematical talents of the 19th century, originally posed the problem. While the problem is notoriously difficult, and complicated even to state carefully, it can be loosely formulated as "the number of integers with an even number of prime factors is the same as the number of integers with an odd number of prime factors." The Hypothesis makes a very precise connection between two seemingly unrelated mathematical objects, namely prime numbers and the zeros of analytic functions. If solved, it would give us profound insight into number theory and, in particular, the nature of prime numbers. This book is an introduction to the theory surrounding the Riemann Hypothesis. Part I serves as a compendium of known results and as a primer for the material presented in the 20 original papers contained in Part II. The original papers place the material into historical context and illustrate the motivations for research on and around the Riemann Hypothesis. Several of these papers focus on computation of the zeta function, while others give proofs of the Prime Number Theorem, since the Prime Number Theorem is so closely connected to the Riemann Hypothesis. The text is suitable for a graduate course or seminar or simply as a reference for anyone interested in this extraordinary conjecture.

Publish Date
Publisher
Springer
Language
English
Pages
533

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Book Details


Edition Notes

Includes bibliographical references and index.

Published in
New York, London
Series
CMS books in mathematics

Classifications

Library of Congress
QA246 .R487 2008, QA241-247.5QA21-27

The Physical Object

Pagination
xiv, 533 p. :
Number of pages
533

Edition Identifiers

Open Library
OL18297644M
ISBN 10
0387721258
ISBN 13
9780387721255
LCCN
2007936622
OCLC/WorldCat
190760103
Library Thing
4849846
Goodreads
894484

Work Identifiers

Work ID
OL16997490W

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History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
March 28, 2025 Edited by ImportBot Redacting ocaids
November 28, 2023 Edited by MARC Bot import existing book
December 20, 2020 Edited by MARC Bot import existing book
October 9, 2020 Edited by ImportBot import existing book
October 15, 2008 Created by ImportBot Imported from Library of Congress MARC record