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Title Recent perspectives in random matrix theory and number theory / edited by F. Mezzadri and N.C. Snaith
Published Cambridge, U.K. ; New York : Cambridge University Press, ©2005


Description 1 online resource (ix, 518 pages) : illustrations
Series London Mathematical Society lecture note series ; 322
London Mathematical Society lecture note series ; 322
Contents 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
Summary Provides a grounding in random matrix techniques applied to analytic number theory
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Numerical functions -- Congresses
Number theory -- Congresses
Random matrices -- Congresses
MATHEMATICS -- Matrices.
Number theory.
Numerical functions.
Random matrices.
Stochastische Matrix
Analytische Zahlentheorie
Genre/Form Conference papers and proceedings.
Form Electronic book
Author Mezzadri, F. (Francesco)
Snaith, N. C. (Nina C.)
ISBN 9781107362673
Other Titles Random matrix theory and number theory
Random matrix approaches in number theory