Geodesic
Cohomology of discrete groups and Dirichlet series connected with Jacquet–Langlands cusp Forms
Izvestiya. Mathematics, Tome 12 (1978) no. 3, pp. 543-555 
P. F. Kurchanov. Cohomology of discrete groups and Dirichlet series connected with Jacquet–Langlands cusp Forms. Izvestiya. Mathematics, Tome 12 (1978) no. 3, pp. 543-555. http://geodesic.mathdoc.fr/item/IM2_1978_12_3_a6/
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     author = {P. F. Kurchanov},
     title = {Cohomology of discrete groups and {Dirichlet} series connected with {Jacquet{\textendash}Langlands} cusp {Forms}},
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     url = {http://geodesic.mathdoc.fr/item/IM2_1978_12_3_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Using an isomorphism of Eichler–Shimura type, the algebraicity is proved, up to a common constant factor, of the values in the center of the critical strip of the $L$-series connected with a “new” modular cusp form on $G_A$ for an imaginary quadratic field twisted with arbitrary Dirichlet characters of this field. Bibliography: 8 titles.

[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., “Parabolicheskie tochki i dzeta-funktsii modulyarnykh krivykh”, Izv. AN SSSR. Ser. matem., 36 (1972), 19–36 | MR | Zbl

[4] Kurchanov P. F., “Dzeta-funktsiya ellipticheskikh krivykh nad nekotorymi abelevymi rasshireniyami mnimykh kvadratichnykh polei”, Matem. sb., 102(144):1 (1977), 56–70 | MR | Zbl

[5] De Ram Zh., Differentsiruemye mnogoobraziya, IL, M., 1956

[6] Harder D., “On the cohomology of $SL(2,\mathfrak D)$”, Lie groups and their representations (Proc. Summer School on Group Representations of the Bolyai János Math. Soc., Budapest, 1971), Halsted, New York, 1975, 139–150 | MR

[7] Miyake T., “On automorphic forms on $GL_2$ and Hecke operators”, Ann. Math., 94 (1971), 174–189 | DOI | MR

[8] Weil A., “Dirichlet series and automorphic forms”, Lecture Notes in Math., 189, Springer-Verlag, Berlin, 1971 | Zbl