log-Coulomb gas with norm-density in $p$-fields

Joe Webster

The main result of this paper is a formula for the integral $${\int }_{K^N}\rho (x)(\underset{i<j}{\max }|x_i-x_j|{)}^a(\underset{i<j}{\min }|x_i-x_j|{)}^b\prod _{i<j}|x_i-x_j{|}^{s_{ij}}|dx|,$$ where…