The Riemann hypothesis : a resource for the afficionado and virtuoso alike
Peter Borwein, Stephen Choi, Brendan Rooney and Andrea Weirathmueller, eds.
New York ; London : Springer, 2008.
xiv, 533 págs. : ilustraciones ; 24 cm.
Serie: CMS books in mathematics
ISBN: 9780387721255, 0387721258
Resumen: "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.
Incluye referencias bibliográficas e índice.
Reseña: MathSciNet, 2009k:11002
Contenido
- 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.
- Part 2, Original papers: 11. Expert witnesses
- 12. The experts speak for themselves.
