Geodesic
Dirichlet series of Jacquet--Langlands cusp forms over fields of $CM$-type
Izvestiya. Mathematics , Tome 14 (1980) no. 1, pp. 61-78.

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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/

[1] Godeman R., “Zametki po teorii Zhake–Lenglendsa”, Matematika, 18:2 (1974), 28–78

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

[3] Manin Yu. I., “Nearkhimedovo integrirovanie i $p$-adicheskie $L$-funktsii Zhake–Lenglendsa”, Uspekhi matem. nauk, XXXI:1(185) (1976), 5–53 | MR

[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