Recent Perspectives in Random Matrix Theory and Number Theory
Recent Perspectives in Random Matrix Theory and Number Theory
July 2005
Paperback
9780521620581
$94.99
USDPaperback
USD
eBook
In recent years the application of random matrix techniques to analytic number theory has been responsible for major advances in this area of mathematics. As a consequence it has created a new and rapidly developing area of research. The aim of this book is to provide the necessary grounding both in relevant aspects of number theory and techniques of random matrix theory, as well as to inform the reader of the progress made when the two apparently disparate subjects meet. This volume of proceedings is addressed to graduate students and other researchers in both pure mathematics and theoretical physics.
- Self-contained lectures by world-leading experts in the field
- The volume is integrated, indexed and cross-referenced
- This title covers the most important and recent advances in the subject
Product details
July 2005Paperback
9780521620581
532 pages
228 × 153 × 30 mm
0.727kg
Available
Table of Contents
- 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.
