We have observed distinct Fano resonances in the pseudo-absorption spectra of GaAs in an external magnetic field. The polaronic interaction quenches the resonances whenever the energies of the electrons (holes) of a magneto-exciton are tuned, by the magnetic field, to one longitudinal-optical phonon above the fundamental Landau level in the conduction- (valence-) band. A line shape analysis of the resonances yields a singular behavior of the parameters characterizing the Fano profiles.
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