COHOMOLOGY OF DISCRETE GROUPS AND DIRICHLET SERIES CONNECTED WITH JACQUET-LANGLANDS CUSP FORMS

© 1978 American Mathematical Society
, , Citation P F Kurčanov 1978 Math. USSR Izv. 12 543 DOI 10.1070/IM1978v012n03ABEH002002

0025-5726/12/3/543

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 GA for an imaginary quadratic field twisted with arbitrary Dirichlet characters of this field. Bibliography: 8 titles.

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10.1070/IM1978v012n03ABEH002002