Recent perspectives in random matrix theory and number theory / edited by F. Mezzadri and N.C. Snaith.

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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...

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Bibliographic Details
Uniform Title:London Mathematical Society lecture note series ; 322.
Other Authors: Mezzadri, F. (Francesco) (Editor)
Snaith, N. C. (Nina C.) (Editor)
Language:English
Published: Cambridge : Cambridge University Press, 2005.
Series:London Mathematical Society lecture note series ; 322.
Subjects:
Numerical functions > Congresses.
Number theory > Congresses.
Random matrices > Congresses.
Genre:
Congresses.
Online Access:
Connect to online resource - MSU authorized users (Digital Object Identifier Permalink)
Physical Description:1 online resource (ix, 518 pages) : digital, PDF file(s).
Variant Title:
Recent Perspectives in Random Matrix Theory & Number Theory.
Format: Electronic eBook

MARC

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490 1 |a London Mathematical Society lecture note series ;  |v 322 
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505 0 |a Prime number theory and the Riemann zeta-function / D.R. Heath-Brown -- Introduction to the random matrix theory : Gaussian unitary ensemble and beyond / Yan V. Fyodorov -- Notes on pair correlation of zeros and prime numbers / D.A. Goldston -- Notes on eigenvalue distributions for the classical compact groups / Brian Conrey -- Compound nucleus resonances, random matrices, quantum chaos / Oriol Bohigas -- Basic analytic number theory / David W. Farmer -- Applications of mean value theorems to the theory of the Riemann zeta function / S.M. Gonek -- Families of L-functions and 1-level densities / Brian Conrey -- L-functions and the characteristic polynomials of random matrices / J.P. Keating -- Spacing distributions in random matrix ensembles / Peter J. Forrester -- Toeplitz determinants, Fisher-Hartwig symbols, and random matrices / Estelle L. Basor -- Mock-Gaussian behaviour / C.P. Hughes -- Some specimens of L-functions / Philippe Michel -- Computational methods and experiments in analytic number theory / Michael Rubinstein. 
520 |a 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 what progress has been made when these two apparently disparate subjects meet. This volume of proceedings is addressed to graduate students and other researchers in both pure mathematics and theoretical physics. The contributing authors, who are among the world leading experts in this area, have taken care to write self-contained lectures on subjects chosen to produce a coherent volume. 
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700 1 |a Mezzadri, F.  |q (Francesco),  |e editor.  |0 http://id.loc.gov/authorities/names/nb2005008164 
700 1 |a Snaith, N. C.  |q (Nina C.),  |e editor.  |0 http://id.loc.gov/authorities/names/nb2005008166 
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