Moments of the derivative of the characteristic polynomial of unitary matrices

Emilia Alvarez, Brian Conrey, Michael O. Rubinstein +1

Let ${\Lambda }_X(s)=\det (I-s{X}^{†})$ be the characteristic polynomial of a Haar distributed unitary matrix $X$. It is believed that the distribution of values of ${\Lambda }_X(s)$ model the di…