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Orthogonal and Symplectic n-level Densities.


Orthogonal and Symplectic n-level Densities

A.M. Mason and N.C. Snaith

American Mathematical Society


93 pages


Memoirs of the American Mathematical Society; Volume 251, Number 1194


Mason and Snaith apply the method that Conrey and Snaith used to calculate the n-correlation of the zeros of the Riemann zeta function to the zeros of families of L-functions with orthogonal or symplectic symmetry. They cover eigenvalue statistics of orthogonal matrices, eigenvalue statistics of symplectic matrices, L-functions, zero statistics of elliptical curve L-functions, zero statistics of quadratic Dirichlet L-functions, n-level densities with restricted support, and examples of calculations. ([umlaut] Ringgold, Inc., Portland, OR)

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Title Annotation:A.M. Mason and N.C. Snaith
Article Type:Book review
Date:Apr 1, 2018
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