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Orthogonal and symplectic 𝑛-level densities (Q4645794)

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scientific article; zbMATH DE number 7000047

Language	Label	Description	Also known as
English	Orthogonal and symplectic 𝑛-level densities	scientific article; zbMATH DE number 7000047

Statements

scholarly article

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Orthogonal and symplectic 𝑛-level densities (English)

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Amy Marie Mason

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Nina Claire Snaith

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Memoirs of the American Mathematical Society

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publication date

11 January 2019

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full work available at URL

https://arxiv.org/abs/1509.05250

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MaRDI profile type

MaRDI publication profile

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Conjectures and Experiments Concerning the Moments of<i>L</i>(1/2, χ<sub><i>d</i></sub>)

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Random matrix theory and the Riemann zeros. I. Three- and four-point correlations

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Gutzwiller's Trace Formula and Spectral Statistics: Beyond the Diagonal Approximation

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Random matrix theory and the Riemann zeros II:<b><i>n</i></b>-point correlations

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A method for calculating spectral statistics based on random-matrix universality with an application to the three-point correlations of the Riemann zeros

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On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises

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Characteristic polynomials of random matrices.

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On the averages of characteristic polynomials from classical groups

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The Riemann Hypothesis for Elliptic Curves

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Notes on eigenvalue distributions for the classical compact groups

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Autocorrelation of random matrix polynomials

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Integral moments of L-functions

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Autocorrelation of ratios of \(L\)-functions

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On the Selberg class of Dirichlet series: Small degrees

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High moments of the Riemann zeta-function

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Applications of the<i>L</i>-functions ratios conjectures

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Correlations of eigenvalues and Riemann zeros

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In support of \(n\)-correlation

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Triple correlation of the Riemann zeros

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Multiple Dirichlet Series and Moments of Zeta and L-Functions

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The low lying zeros of a GL(4) and a GL(6) family of $L$-functions

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Statistical Theory of the Energy Levels of Complex Systems. I

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Quaternäre quadratische Formen und die Riemannsche Vermutung für die Kongruenzzetafunktion

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Low-lying zeros of quadratic Dirichlet \(L\)-functions, hyper-elliptic curves and random matrix theory

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Modeling families of <i>L</i>-functions

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Surpassing the ratios conjecture in the 1-level density of Dirichlet \(L\)-functions

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Low-lying zeros of dihedral \(L\)-functions

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n-Level Density of the Low-lying Zeros of Quadratic Dirichlet L-Functions

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A unitary test of the Ratios Conjecture

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Prime number theory and the Riemann zeta-function

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Low-lying zeros of \(L\)-functions with orthogonal symmetry

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Linear Statistics of Low-Lying Zeros of L-Functions

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Lower order terms for the one-level density of elliptic curve \(L\)-functions

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An elliptic curve test of the \(L\)-functions ratios conjecture

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Low lying zeros of families of \(L\)-functions

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On the Mean Value of L(1/2, χ ) FW Real Characters

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Zeroes of zeta functions and symmetry

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Random matrices and<i>L</i>-functions

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Random matrix theory and \(L\)-functions at \(s=1/2\).

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Random matrix theory and \(\zeta(1/2+it)\).

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The n-level densities of low-lying zeros of quadratic Dirichlet L-functions

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One- and two-level densities for rational families of elliptic curves: evidence for the underlying group symmetries

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A Symplectic Test of the L-Functions Ratios Conjecture

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An orthogonal test of the <i>L</i> -functions Ratios conjecture

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An orthogonal test of the L-functions Ratios Conjecture, II

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Low-lying zeros of number field \(L\)-functions

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On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis

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Lower order terms for the one-level densities of symmetric power L-functions in the level aspect

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Petits zéros de fonctions L de formes modulaires

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Low-lying zeros of \(L\)-functions and random matrix theory

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Zeros of principal \(L\)-functions and random matrix theory

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The Arithmetic of Elliptic Curves

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Riemann zeros and random matrix theory

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Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)

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Ring-theoretic properties of certain Hecke algebras

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Modular elliptic curves and Fermat's Last Theorem

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Low-lying zeros of families of elliptic curves

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The third moment of quadratic Dirichlet \(L\)-functions

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On the cubic moment of quadratic Dirichlet \(L\)-functions

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Identifiers

zbMATH Open document ID

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10.1090/memo/1194

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4645794

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