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

The main result of this paper is a formula for the integral $$\int_{K^N}\rho(x)\big(\max_{i 0$ represent the charges of an $N$-particle log-Coulomb gas in $K$ with background density $\rho$ and inverse temperature $\beta$. From this specialization we obtain a mixed-charge $p$-field analogue of Mehta's integral formula, as well as formulas and low-temperature limits for the joint moments of $\max_{i

Keywords:

• integral formula
• Mathematical physics
• Coulomb
• inverse temperature
• Mathematical analysis
• Mathematics
• minimum distance

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