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Recent Perspectives in Random Matrix Theory and Number Theory

Francesco Mezzadri and Nina C. Snaith, editors
Publisher: 
Cambridge University Press
Publication Date: 
2005
Number of Pages: 
518
Format: 
Paperback
Series: 
London Mathematical Society Lecture Note Series 322
Price: 
60.00
ISBN: 
0-521-62058-9
Category: 
Proceedings
We do not plan to review this book.

 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.

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