Orthogonal and symplectic 𝑛-level densities

DOI10.1090/memo/1194zbMath1435.11002arXiv1509.05250OpenAlexW4230491864MaRDI QIDQ4645794

Amy Marie Mason, Nina Claire Snaith

Publication date: 11 January 2019

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05250

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Relations with random matrices (11M50) Orthogonal matrices (15B10)

Related Items

LOWER-ORDER TERMS OF THE ONE-LEVEL DENSITY OF A FAMILY OF QUADRATIC HECKE -FUNCTIONS, Omega results for cubic field counts via lower-order terms in the one-level density, Sums of divisor functions and von Mangoldt convolutions in \(\mathbb{F}_q [T\) leading to symplectic distributions], ONE-LEVEL DENSITY OF LOW-LYING ZEROS OF QUADRATIC HECKE L-FUNCTIONS OF IMAGINARY QUADRATIC NUMBER FIELDS, Type-I contributions to the one and two level densities of quadratic Dirichlet \(L\)-functions over function fields, Mixed moments of characteristic polynomials of random unitary matrices, One-Level Density of Low-lying Zeros of Quadratic and Quartic Hecke -functions

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