# The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike (CMS Books in Mathematics)

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This book presents the Riemann Hypothesis, connected problems, and a taste of the body of theory developed towards its solution. It is targeted at the educated non-expert. Almost all the material is accessible to any senior mathematics student, and much is accessible to anyone with some university mathematics. The appendices include a selection of original papers that encompass the most important milestones in the evolution of theory connected to the Riemann Hypothesis. The appendices also include some authoritative expository papers. These are the “expert witnesses” whose insight into this field is both invaluable and irreplaceable.

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From the Back Cover:

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.

Review:

From the reviews:

"The Reimann Hypothesis presents itself as fundamentally a collection of well-known papers related to the Reimann Hypothesis, with a long introduction to set the stage. ... This may be a useful resource for small libraries ... and for those who might like to have copies of the papers in their personal library." (Fernando Q. Gouvêa, MathDL, January, 2008)

"This book is intended as a reference work on the Riemann Hypothesis (RH). ... 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 the material is good, and the discussion is helpful. ... 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." (Roger Heath-Brown, Zentralblatt MATH, Vol. 1132 (10), 2008)

"Borwein (Simon Fraser Univ.) and others have compiled mostly classic papers contributing to the theory of the distribution of prime numbers. ... Summing Up: Recommended. Upper-division undergraduate through researchers/faculty." (D. V. Feldman, CHOICE, Vol. 45 (11), August, 2008)

"This delightfully written book on the Riemann Hypothesis is a welcome addition to the literature. ... its structure makes it an ideal choice as a textbook for a reading course on the Riemann zeta function and its applications, especially in classes with students of diverse mathematical backgrounds and abilities. ... I thoroughly enjoyed reading this book. ... It is a great service to have them collected in one place, and this will increase the number of mathematicians who read them." (Steven Joel Miller, Mathematical Reviews, Issue 2009 k)

“This beautiful book is an in-depth introduction to the Riemann hypothesis, arguably the most famous unsolved problem of mathematics. ... the book will also be of interest for anyone with an interest in the history of this result. ... For everyone else it is a most valuable resource of information on a fascinating conjecture and a most welcome addition to the literature.” (C. Baxa, Monatshefte für Mathematik, Vol. 160 (3), June, 2010)

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## 1.The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike (CMS Books in Mathematics)

Editorial: Springer (2007)
ISBN 10: 0387721258 ISBN 13: 9780387721255
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Descripción Springer, 2007. Hardcover. Estado de conservación: New. 2008. This item is printed on demand. Nº de ref. de la librería DADAX0387721258

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## 2.The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike (CMS Books in Mathematics)

Editorial: Springer (2007)
ISBN 10: 0387721258 ISBN 13: 9780387721255
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Irish Booksellers
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Descripción Springer, 2007. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0387721258

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## 3.The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike (Hardback)

Editorial: Springer-Verlag New York Inc., United States (2007)
ISBN 10: 0387721258 ISBN 13: 9780387721255
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Descripción Springer-Verlag New York Inc., United States, 2007. Hardback. Estado de conservación: New. 2008.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. This book presents the Riemann Hypothesis, connected problems, and a taste of the body of theory developed towards its solution. It is targeted at the educated non-expert. Almost all the material is accessible to any senior mathematics student, and much is accessible to anyone with some university mathematics. The appendices include a selection of original papers that encompass the most important milestones in the evolution of theory connected to the Riemann Hypothesis. The appendices also include some authoritative expository papers. These are the expert witnesses whose insight into this field is both invaluable and irreplaceable. Nº de ref. de la librería LIE9780387721255

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## 4.The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike (CMS Books in Mathematics)

Editorial: Springer (2017)
ISBN 10: 0387721258 ISBN 13: 9780387721255
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Descripción Springer, 2017. Hardcover. Estado de conservación: New. This item is printed on demand. Nº de ref. de la librería P110387721258

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## 5.The Riemann Hypothesis

Editorial: Springer-Verlag New York Inc. (2007)
ISBN 10: 0387721258 ISBN 13: 9780387721255
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Descripción Springer-Verlag New York Inc., 2007. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IP-9780387721255

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## 6.The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike (CMS Books in Mathematics)

Editorial: Springer (2007)
ISBN 10: 0387721258 ISBN 13: 9780387721255
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Descripción Springer, 2007. Estado de conservación: New. This item is printed on demand for shipment within 3 working days. Nº de ref. de la librería LP9780387721255

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## 7.The Riemann Hypothesis. A Resource for the Afficionado and Virtuoso Alike

Editorial: Springer (2007)
ISBN 10: 0387721258 ISBN 13: 9780387721255
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Descripción Springer, 2007. Hardback. Estado de conservación: NEW. 9780387721255 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0274015

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## 8.The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike

Editorial: Springer (2016)
ISBN 10: 0387721258 ISBN 13: 9780387721255
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Descripción Springer, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9780387721255_lsuk

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## 9.The Riemann Hypothesis

Editorial: Springer-Verlag New York Inc. (2007)
ISBN 10: 0387721258 ISBN 13: 9780387721255
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Descripción Springer-Verlag New York Inc., 2007. HRD. Estado de conservación: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Nº de ref. de la librería IP-9780387721255

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## 10.The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike (Hardback)

Editorial: Springer-Verlag New York Inc., United States (2007)
ISBN 10: 0387721258 ISBN 13: 9780387721255
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Descripción Springer-Verlag New York Inc., United States, 2007. Hardback. Estado de conservación: New. 2008.. Language: English . Brand New Book ***** Print on Demand *****. This book presents the Riemann Hypothesis, connected problems, and a taste of the body of theory developed towards its solution. It is targeted at the educated non-expert. Almost all the material is accessible to any senior mathematics student, and much is accessible to anyone with some university mathematics. The appendices include a selection of original papers that encompass the most important milestones in the evolution of theory connected to the Riemann Hypothesis. The appendices also include some authoritative expository papers. These are the expert witnesses whose insight into this field is both invaluable and irreplaceable. Nº de ref. de la librería APC9780387721255

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