Orthogonal and symplectic n-level densities /

"In this paper we apply to the zeros of families of L-functions with orthogonal or symplectic symmetry the method that Conrey and Snaith (Correlations of eigenvalues and Riemann zeros, 2008) used to calculate the n-correlation of the zeros of the Riemann zeta function. This method uses the Rati...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Mason, A. M. (Amy Marie), 1985- (Author), Snaith, N. C. (Nina C.) (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence, RI : American Mathematical Society, [2018]
Series:Memoirs of the American Mathematical Society ; no. 1194.
Subjects:
L-functions.
Orthogonalization methods.
Symplectic and contact topology.
Number theory.
Numerical analysis.
Fonctions L.
Méthodes d'orthogonalisation.
Topologie symplectique et de contact.
Théorie des nombres.
Analyse numérique.
Análisis numérico
Toería de números
L-functions
Number theory
Numerical analysis
Orthogonalization methods
Symplectic and contact topology
Online Access:Texto completo
Table of Contents:
  • Chapter 1. Introduction Chapter 2. Eigenvalue Statistics of Orthogonal Matrices Chapter 3. Eigenvalue Statistics of Symplectic Matrices Chapter 4. $L$-functions Chapter 5. Zero Statistics of Elliptic Curve $L$-functions Chapter 6. Zero Statistics of Quadratic Dirichlet $L$-functions Chapter 7. $n$-level Densities with Restricted Support Chapter 8. Example Calculations.

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