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On the zeta function of an Abelian scheme over the Shimura curve. (English) Zbl 0527.10023

##### MSC:
 11F12 Automorphic forms, one variable 14K15 Arithmetic ground fields for abelian varieties 14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) 11F67 Special values of automorphic $$L$$-series, periods of automorphic forms, cohomology, modular symbols