Geodesic
Dirichlet series of Jacquet–Langlands cusp forms over fields of $CM$-type
Izvestiya. Mathematics, Tome 14 (1980) no. 1, pp. 61-78 Cet article a éte moissonné depuis la source Math-Net.Ru

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For certain Jacquet–Langlands cusp forms over fields of $CM$-type it is shown that the value at $s=1$ of their Dirichlet series for a certain infinite set of Hecke quasicharacters can be computed as algebraic linear combinations of a finite set of periods of a closed differential form on a real-analytic manifold with singular point. Bibliography: 5 titles. 
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P. F. Kurchanov. Dirichlet series of Jacquet–Langlands cusp forms over fields of $CM$-type. Izvestiya. Mathematics, Tome 14 (1980) no. 1, pp. 61-78. http://geodesic.mathdoc.fr/item/IM2_1980_14_1_a3/

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[2] Zhake E., Lenglends R., Avtomorfnye formy na $GL(2)$, Mir, M., 1973 | MR

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[4] Kurchanov P. F., “Kogomologii diskretnykh grupp i ryady Dirikhle, svyazannye s parabolicheskimi formami Zhake–Lenglendsa”, Izv. AN SSSR. Ser. matem., 42 (1978), 588–601 | MR | Zbl

[5] Weil A., Dirichlet series and autoraorphic forms, Lecture Notes in Math., 189, Springer, Berlin, 1971 | Zbl