Toeplitz determinants with a one-cut regular potential and Fisher-Hartwig singularities I. Equilibrium measure supported on the unit circle
We consider Toeplitz determinants whose symbol has: (i) a one-cut regular potential, (ii) Fisher-Hartwig singularities and (iii) a smooth function in the background. The potential is associated with an equilibrium measure that is assumed to be supported on the whole unit circle. For constant potentials, the equilibrium measure is the uniform measure on the unit circle and our formulas reduce to we
