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Special values of the standard zeta functions for elliptic modular forms. (English) Zbl 1173.11330

Summary: We give an algorithm for computing the special values of twisted standard zeta functions of elliptic modular forms by using the pullback formula for the Siegel-Eisenstein series of degree 2.

MSC:

11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols
11F11 Holomorphic modular forms of integral weight
11F46 Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms