Recent Perspectives in Random Matrix Theory and Number Theory

Informationen zum Autor Francesco Mezzadri is a Lecturer in Applied Mathematics at the University of Bristol. Nina Snaith is a Lecturer in Applied Mathematics at the University of Bristol. Zusammenfassung In recent years the application of random matrix techniques to analytic number theory has been responsible for major advances in this area of mathematics. The aim of this book is to provide the necessary grounding as well as to inform the reader of recent progress. Inhaltsverzeichnis 1. Introduction; 2. Prime number theory and the Riemann zeta-function; 3. Notes on pair correlation of zeros and prime numbers; 4. Notes on eigenvalue distributions for the classical compact groups; 5. Compound nucleus resonances, random matrices and quantum chaos; 6. Families of L-functions and 1-level densities; 7. Basic analytic number theory; 8. Applications of mean value theorems to the theory of the Riemann zeta function; 9. L-functions and the characteristic polynomials of random matrices; 10. Mock gaussian behaviour; 11. Some specimens of L-functions; 12. Computational methods and experiments in analytic number theory.

Dettagli sul prodotto

• Autori: F. Mezzadri, F. (University of Bristol) Snaith Mezzadri, F. Snaith Mezzadri
• Con la collaborazione di: N. J. Hitchin (Editore), F. Mezzadri (Editore), N. C. Snaith (Editore)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 21.06.2005
• EAN: 9780521620581
• ISBN: 978-0-521-62058-1
• Pagine: 532
• Serie: London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Teoria delle probabilità, stocastica, statistica matematica