000			03332nam a22003978i 4500
001			CR9780511550492
003			UkCbUP
005			20200124160231.0
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007			cr||||||||||||
008			090511s2005||||enk o ||1 0|eng|d
020			_a9780511550492 (ebook)
020			_z9780521620581 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA246 _b.R39 2005
082	0	4	_a512.9434 _222
245	0	0	_aRecent perspectives in random matrix theory and number theory / _cedited by F. Mezzadri and N.C. Snaith.
246	3		_aRecent Perspectives in Random Matrix Theory & Number Theory
264		1	_aCambridge : _bCambridge University Press, _c2005.
300			_a1 online resource (ix, 518 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v322
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aPrime 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			_aIn 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.
650		0	_aNumerical functions _vCongresses.
650		0	_aNumber theory _vCongresses.
650		0	_aRandom matrices _vCongresses.
700	1		_aMezzadri, F. _q(Francesco), _eeditor.
700	1		_aSnaith, N. C. _q(Nina C.), _eeditor.
776	0	8	_iPrint version: _z9780521620581
830		0	_aLondon Mathematical Society lecture note series ; _v322.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511550492
999			_c517655 _d517653