Partition functions of two-dimensional Coulomb gases with circular root- and jump-type singularities

Kohei Noda

In this paper, we study the random polynomial $p_n(\ddot{I}):={\prod }_{j=1}^n(|z_j|-\ddot{I})$, where the points $\{z_j{\}}_{j=1}^n$ are the eigenvalue moduli of random normal matrices with a rad…