Provides a grounding in random matrix techniques applied to analytic number theory.
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.
Local Note
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America