Hawking radiation and Dirac quasinormal modes of 3D EMD Lambda black holes

Some properties of the Hawking radiation emitted by the family of black holes of the Einstein - Maxwell - Dilaton with cosmological constant theory in three dimensions found by Chan and Mann are studied using the complex paths method and the Damour - Ruffini method. The exact values of the quasinormal frequencies of the massless Dirac field propagating on a particular black hole of this family are calculated. Taking as a basis the results obtained for the values of the quasinormal frequencies the instability of some modes is discussed. The extension of these results to the black holes of the Einstein - Maxwell - Dilaton theory in four dimensions is studied in the appendix.