2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/203994A recent paper [Jokela et al, arxiv:0806.1491 9 June 2008] contains a surmise about an expectation value in a Coulomb gas which interacts with an additional charge xi that sits at a fixed position. Here I demonstrate the validity of the surmised expression and extend it to a certain class of higher cumulants. The calculation is based on the analogy to statistical averages in the circular unitary ensemble of random-matrix theory and exploits properties of orthogonal polynomials on the unit circle.4 pagesStatistical MechanicsHigh Energy Physics - TheoryMathematical Physicstext