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**Recent perspectives in random matrix theory and number theory. Proceedings of a school that was part of the programme ‘Random matrix approaches in number theory’, Cambridge, UK, January 26–July 16, 2004.**
*(English)*
Zbl 1065.11002

London Mathematical Society Lecture Note Series 322. Cambridge: Cambridge University Press (ISBN 0-521-62058-9/pbk). ix, 518 p. (2005).

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Show indexed articles as search result.
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The articles of this volume will be reviewed individually.

Indexed articles:

Heath-Brown, D. R., Prime number theory and the Riemann zeta-function, 1-30 [Zbl 1204.11144]

Fyodorov, Yan V., Introduction to the random matrix theory: Gaussian unitary ensemble and beyond, 31-78 [Zbl 1204.11151]

Goldston, D. A., Notes on pair correlation of zeros and prime numbers, 79-110 [Zbl 1168.11320]

Conrey, Brian, Notes on eigenvalue distributions for the classical compact groups, 111-145 [Zbl 1204.11142]

Bohigas, Oriol, Compound nucleus resonances, random matrices, quantum chaos, 147-183 [Zbl 1204.81193]

Farmer, David W., Basic analytic number theory, 185-200 [Zbl 1204.11137]

Gonek, S. M., Applications of mean value theorems to the theory of the Riemann zeta function, 201-223 [Zbl 1204.11138]

Conrey, Brian, Families of \(L\)-functions and 1-level densities, 225-249 [Zbl 1204.11149]

Keating, J. P., \(L\)-functions and the characteristic polynomials of random matrices, 251-277 [Zbl 1204.11152]

Forrester, Peter J., Spacing distributions in random matrix ensembles, 279-307 [Zbl 1204.82024]

Basor, Estelle L., Toeplitz determinants, Fisher-Hartwig symbols, and random matrices, 309-336 [Zbl 1168.82314]

Hughes, C. P., Mock-Gaussian behaviour, 337-355 [Zbl 1168.11322]

Michel, Philippe, Some specimens of \(L\)-functions, 357-424 [Zbl 1204.11174]

Rubinstein, Michael, Computational methods and experiments in analytic number theory, 425-506 [Zbl 1168.11329]

### MSC:

11-06 | Proceedings, conferences, collections, etc. pertaining to number theory |

00B25 | Proceedings of conferences of miscellaneous specific interest |

11M50 | Relations with random matrices |

11M06 | \(\zeta (s)\) and \(L(s, \chi)\) |

15B52 | Random matrices (algebraic aspects) |

82B44 | Disordered systems (random Ising models, random SchrĂ¶dinger operators, etc.) in equilibrium statistical mechanics |

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\textit{F. Mezzadri} (ed.) and \textit{N. C. Snaith} (ed.), Recent perspectives in random matrix theory and number theory. Proceedings of a school that was part of the programme `Random matrix approaches in number theory', Cambridge, UK, January 26--July 16, 2004. Cambridge: Cambridge University Press (2005; Zbl 1065.11002)