We study theoretically the luminescence from quantum dots of a ring geometry. For high excitation intensities, photoexcited electrons and holes form Fermi seas. Close to the emission threshold, the single-particle spectral lines acquire weak many-body satellites. However, away from the threshold, the discrete luminescence spectrum is completely dominated by many-body transitions. We employ the Luttinger-liquid approach to exactly calculate the intensities of all many-body spectral lines. We find that the transition from a single-particle to a many-body structure of the emission spectrum is governed by a single parameter and that the distribution of peaks away from the threshold is universal. © 2001 The American Physical Society.