The riemann hypothesis [Documento electrónico] / edited by Peter Borwein ... [et al.] : a resource for the afficionado and virtuoso alike
Language: eng.Country: US - United States of America.Publication: New York, NY : Springer New York, Imprint: Springer, 2008Description: XIV, 533 p.ISBN: 978-0-387-72126-2.Series: CMS books in mathematics ouvrages de mathématiques de la SMCSubject - Personal Name: Riemann, Bernhard , 1826-1866 Subject - Topical Name: Teoria dos números | Hipótese de Riemann | Números primos Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT | Não Ficção | QA241.SPR FCT 95683 (Browse shelf(Opens below)) | 1 | Available |
Colocação: Online
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.
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