2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223767We consider a multiple integral representation for the finite temperature density-density correlation functions of the one-dimensional Bose gas with delta function interaction in the limits of infinite and vanishing repulsion. In the former case a known Fredholm determinant is recovered. In the latter case a similar expression appears with permanents replacing determinants.11 pages, section on the free Boson limit addedMathematical PhysicsStatistical MechanicsHigh Energy Physics - Theorytext