Book contents
- Frontmatter
- Contents
- Introduction
- Prime number theory and the Riemann zeta-function
- Introduction to the random matrix theory: Gaussian Unitary Ensemble and beyond
- Notes on pair correlation of zeros and prime numbers
- Notes on eigenvalue distributions for the classical compact groups
- Compound nucleus resonances, random matrices, quantum chaos
- Basic analytic number theory
- Applications of mean value theorems to the theory of the Riemann zeta function
- Families of L-functions and 1-level densities
- L-functions and the characteristic polynomials of random matrices
- Spacing distributions in random matrix ensembles
- Toeplitz determinants, Fisher-Hartwig symbols, and random matrices
- Mock-Gaussian behaviour
- Some specimens of L-functions
- Computational methods and experiments in analytic number theory
- Index
Notes on pair correlation of zeros and prime numbers
Published online by Cambridge University Press: 06 January 2010
Book contents
- Frontmatter
- Contents
- Introduction
- Prime number theory and the Riemann zeta-function
- Introduction to the random matrix theory: Gaussian Unitary Ensemble and beyond
- Notes on pair correlation of zeros and prime numbers
- Notes on eigenvalue distributions for the classical compact groups
- Compound nucleus resonances, random matrices, quantum chaos
- Basic analytic number theory
- Applications of mean value theorems to the theory of the Riemann zeta function
- Families of L-functions and 1-level densities
- L-functions and the characteristic polynomials of random matrices
- Spacing distributions in random matrix ensembles
- Toeplitz determinants, Fisher-Hartwig symbols, and random matrices
- Mock-Gaussian behaviour
- Some specimens of L-functions
- Computational methods and experiments in analytic number theory
- Index
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- Publisher: Cambridge University PressPrint publication year: 2005
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