The Riemann hypothesis : a resource for the afficionado and virtuoso alike /

"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...

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Guardado en:
Otros Autores: Borwein, Peter B. (Editor )
Formato: Libro
Idioma:English
Publicado: New York ; London : Springer, 2008.
Series:CMS books in mathematics
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245 0 4 |a The Riemann hypothesis :  |b a resource for the afficionado and virtuoso alike /  |c Peter Borwein, Stephen Choi, Brendan Rooney and Andrea Weirathmueller, eds. 
260 |a New York ;  |a London :  |b Springer,  |c 2008. 
300 |a xiv, 533 p. :  |b il. ;  |c 24 cm. 
440 0 |a CMS books in mathematics 
504 |a Incluye referencias bibliográficas e índice. 
520 |a "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."--Contratapa. 
505 0 |a Part 1, Introduction to the Riemann hypothesis: 1. Why this book -- 2. Analytic preliminaries -- 3. Algorithms for calculating -- 4. Empirical evidence -- 5. Equivalent statements -- 6. Extensions of the Riemann hypothesis -- 7. Assuming the Riemann hypothesis and its extensions -- 8. Failed attempts at proof -- 9. Formulas -- 10. Timeline -- 11. Expert witnesses -- 12. The experts speak for themselves. 
505 0 |a Part 2, Original papers: 11. Expert witnesses -- 12. The experts speak for themselves. 
510 4 |a MR,  |c 2009k:11002 
020 |a 9780387721255 
020 |a 0387721258 
700 1 |a Borwein, Peter B.  |4 edt 
650 0 |a Riemann hypothesis. 
650 0 |a Numbers, Prime. 
650 0 |a Number theory. 
600 1 0 |a Riemann, Bernhard,  |d 1826-1866. 
084 |a 11-02 (11-06 11M26)  |2 msc2000 
010 |a  2007936622 
040 |a UNA  |c UNA  |d DLC 
859 |h 11  |i R556  |p A-8787  |b BIB. MATEMATICA