This article is cited in 1 paper

Dirichlet series of Jacquet–Langlands cusp forms over fields of $CM$-type

P. F. Kurchanov


Abstract: 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.

UDC: 511

MSC: Primary 14D20; Secondary 10D25, 10F35

Received: 24.03.1978

 English version: Mathematics of the USSR-Izvestiya, 1980, 14:1, 61–78

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