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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     author = {P. F. Kurchanov},
     title = {Dirichlet series of {Jacquet--Langlands} cusp forms over fields of $CM$-type},
     journal = {Izvestiya. Mathematics },
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     url = {http://geodesic.mathdoc.fr/item/IM2_1980_14_1_a3/}
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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/