I. A. Cooper

collaborators

2 papers

math-ph2024

Moments of characteristic polynomials and their derivatives for $S O (2 N)$ and $U S p (2 N)$ and their application to one-level density in families of elliptic curve $L$ -functions

I. A. Cooper, N. C. Snaith

Using the ratios theorems, we calculate the leading order terms in $N$ for the following averages of the characteristic polynomial and its derivative: $\left< \left|Λ_A(1 )\right|…

math-ph2015

Beyond the excised ensemble: modelling elliptic curve L-functions with random matrices

Ian A. Cooper, Patrick W. Morris, Nina C. Snaith

The `excised ensemble', a random matrix model for the zeros of quadratic twist families of elliptic curve $L$ -functions, was introduced by Dueñez, Huynh, Keating, Miller and Snaith…

Moments of characteristic polynomials and their derivatives for SO(2N) and USp(2N) and their application to one-level density in families of elliptic curve L-functions

Beyond the excised ensemble: modelling elliptic curve L-functions with random matrices

Moments of characteristic polynomials and their derivatives for $S O (2 N)$ and $U S p (2 N)$ and their application to one-level density in families of elliptic curve $L$ -functions