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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Mason, A. M. (Amy Marie), 1985- (Autor), Snaith, N. C. (Nina C.) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, [2018]
Colección:Memoirs of the American Mathematical Society ; no. 1194.
Temas:
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
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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