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Fundamental solutions of Dirac type operators are introduced for a class of conformally flat spin manifolds. This class consists of manifolds obtained by factoring out the upper half-space of    by congruence subgroups of generalized modular groups. Basic properties of these fundamental solutions are presented together with associated Eisenstein and Poincaré type series.

Dirac type operators for spin manifolds associated to congruence subgroups of generalized modular groups