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Periods of mixed cusp forms. (English) Zbl 0759.11020
We define the periods of mixed cusp forms and establish generalized Eichler-Shimura relations for the periods of mixed cups forms. We also construct modular symbols for mixed cusp forms and express the periods of mixed cusp forms in terms of these modular symbols.

MSC:
 11F67 Special values of automorphic $$L$$-series, periods of automorphic forms, cohomology, modular symbols 14D05 Structure of families (Picard-Lefschetz, monodromy, etc.) 14J25 Special surfaces
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