This article is cited in 5 papers

Cohomology of discrete groups and Dirichlet series connected with Jacquet–Langlands cusp Forms

P. F. Kurchanov


Abstract: 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.

UDC: 511

MSC: Primary 12A85; Secondary 14G25

Received: 17.06.1977

 English version: Mathematics of the USSR-Izvestiya, 1978, 12:3, 543–555

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