Moments of the logarithmic derivative of characteristic polynomials from $SO(N)$ and $USp(2N)$

Autor: Nina C Snaith, Emilia Alvarez

We study moments of the logarithmic derivative of characteristic polynomials of orthogonal and symplectic random matrices. In particular, we compute the asymptotics for large matrix size, $N$, of these moments evaluated at points which are approachin

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf13dfbbcc92e27a96a3c6c661201d0c
http://arxiv.org/abs/2003.05906

Symplectic n-level densities with restricted support

Autor: Amy M. Mason, Nina C Snaith

Publikováno v: Mason, A & Snaith, N 2016, ' Symplectic n-level densities with restricted support ', Random Matrices: Theory and Applications, vol. 5, no. 4, 1650013 . https://doi.org/10.1142/S2010326316500131

In this paper, we demonstrate that the alternative form, derived by us in an earlier paper, of the [Formula: see text]-level densities for eigenvalues of matrices from the classical compact group [Formula: see text] is far better suited for compariso

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a598b9115b96fc9f34775fc8398df7f
https://www.repository.cam.ac.uk/handle/1810/299733

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

Autor: Nina C Snaith, Duc Khiem Huynh, Jon P Keating

Publikováno v: Journal of Number Theory. 129(12):2883-2902

It is believed that, in the limit as the conductor tends to infinity, correlations between the zeros of elliptic curve L-functions averaged within families follow the distribution laws of the eigenvalues of random matrices drawn from the orthogonal g

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b81c0dbb3d95b6112e22fb59e328d20

Triple correlation of the Riemann zeros

Autor: J. Brian Conrey, Nina C Snaith

Publikováno v: Journal de Théorie des Nombres de Bordeaux. 20:61-106

We use the conjecture of Conrey, Farmer and Zirn- bauer for averages of ratios of the Riemann zeta function (3) to cal- culate all the lower order terms of the triple correlation function of the Riemann zeros. A previous approach was suggested by Bog

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::39063be6581862e6fd3f57d811c89258
https://doi.org/10.5802/jtnb.616

A converse theorem for Γ0(13)

Autor: B.E. Odgers, Nina C Snaith, J. B. Conrey, David W. Farmer

Publikováno v: Journal of Number Theory. 122:314-323

We prove that a Dirichlet series with a functional equation and Euler product of a particular form can only arise from a holomorphic cusp form on the Hecke congruence group Γ 0 ( 13 ) . The proof does not assume a functional equation for the twists

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14b5887689f79837a2d54cf594a75673
https://doi.org/10.1016/j.jnt.2006.05.017