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The Riemann hypothesis a resource for the afficionado and virtuoso alike by

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Published by Springer in New York, London .
Written in English

Subjects:

  • Riemann, Bernhard, -- 1826-1866,
  • Riemann hypothesis,
  • Numbers, Prime,
  • Number theory

Book details:

Edition Notes

Includes bibliographical references and index.

StatementPeter Borwein ... [et al.].
SeriesCMS books in mathematics
ContributionsBorwein, Peter B.
Classifications
LC ClassificationsQA246 .R487 2008
The Physical Object
Paginationxiv, 533 p. :
Number of Pages533
ID Numbers
Open LibraryOL18297644M
ISBN 100387721258
ISBN 109780387721255
LC Control Number2007936622

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Van Frankenhuijsen, Machiel, The Riemann Hypothesis for Function Fields: Frobenius Flow and Shift Operators, London Mathematical Society Student Texts (Book 80), .   There are many books about the Riemann Hypothesis. I think the place to start is The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike (CMS Books in Mathematics) th Edition. If you don’t like this one, Amazon (See: Online S. Prime Obsession is an engrossing and mind stretching journey to the heart of one of the most enduring and profound mysteries in mathematics - the Riemann Hypothesis: All non-trivial zeros of the zeta function have real part one-half/5. The Riemann Hypothesis is named after the fact that it is a hypothesis, which, as we all know, is the largest of the three sides of a right triangle. Or maybe that’s "hypotenuse." Whatever. The Riemann Hypothesis was posed in by Bernhard Riemann, a mathematician who was not a number theorist and wrote just one paper on number theory in File Size: KB.

The anecdotes, stories, and historical notes on the Riemann Hypothesis are a nice bonus, including to the most comprehensive account on Bernhard Riemann's life known to me. ★★★★☆ Riemann's Zeta Function by H.M. Edwards ★★★☆☆ Dr. Riemann's Zeros by Karl Sabbagh. The Riemann hypothesis is considered to be one of the most important conjectures within pure mathematics, which has stood unsolved for over years. This wikibook seeks to explore the hypothesis, its history, and its current status. Table of Contents []. . 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. In addition, Sabbagh spends much of the book conversing with and about Louis de Branges, who has claimed to have a proof of the Riemann Hypothesis. It is true that de Branges is a respected mathematician who solved an important long-standing problem, the Bieberbach Conjecture.

Problems of the Millennium: the Riemann Hypothesis E. Bombieri I. The problem. TheRiemannzetafunctionisthefunctionofthecomplex variable s,definedinthehalf-plane1 (s File Size: KB. A proof of the Riemann hypothesis would have far-reaching consequences for number theory and for the use of primes in cryptography.. The Riemann hypothesis has long been considered the greatest unsolved problem in was one of 10 unsolved mathematical problems (23 in the printed address) presented as a challenge for 20th-century mathematicians by German mathematician David Hilbert. The Riemann Hypothesis is easily one of the most important unsolved problems in mathematics. Unfortunately, unlike Fermat's Last Theorem or even the Poincaré conjecture, the Riemann Hypothesis doesn't lend itself well to being put in layman's terms/5.   The first, Stalking the Riemann hypothesis, is a vertiginous trip through most of the fields of modern mathematics in the quest to understand prime numbers. Considering the tricky subject at hand, the book manages quite well to explain — with a lot of hand-waving and analogies — the different approaches used to attack the RH over the years.