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Period Functions for Maass Wave Forms and Cohomology

Period Functions for Maass Wave Forms and Cohomology

We construct explicit isomorphisms between spaces of Maass wave forms and cohomology groups for discrete cofinite groups Γ ⊂ PSL 2 (R).In the case that Γ is the modular group PSL 2 (Z) this gives a cohomological framework for the results in Period functions for Maass wave forms.I, of J. …