Recent perspectives in random matrix theory and number theory /

Provides a grounding in random matrix techniques applied to analytic number theory.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Mezzadri, F. (Francesco), Snaith, N. C. (Nina C.)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, U.K. ; New York : Cambridge University Press, ©2005.
Colección:London Mathematical Society lecture note series ; 322.
Temas:
Numerical functions > Congresses.
Number theory > Congresses.
Random matrices > Congresses.
Fonctions numériques > Congrès.
Théorie des nombres > Congrès.
Matrices aléatoires > Congrès.
MATHEMATICS > Matrices.
Number theory.
Numerical functions.
Random matrices.
Stochastische Matrix
Analytische Zahlentheorie
Conference papers and proceedings.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

Ejemplares similares