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Mathematics of the USSR-Izvestiya, 1980, Volume 14, Issue 1, Pages 61–78
DOI: https://doi.org/10.1070/IM1980v014n01ABEH001076 (Mi im1675) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

P. F. Kurchanov
English version PDF (704 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM1980v014n01ABEH001076
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.
Received: 24.03.1978
Bibliographic databases:
UDC: 511
MSC: Primary 14D20; Secondary 10D25, 10F35
Language: English
Original paper language: Russian
Citation: P. F. Kurchanov, “Dirichlet series of Jacquet–Langlands cusp forms over fields of $CM$-type”, Math. USSR-Izv., 14:1 (1980), 61–78
Citation in format AMSBIB
\Bibitem{Kur79}
\by P.~F.~Kurchanov
\paper Dirichlet series of Jacquet--Langlands cusp forms over fields of $CM$-type
\jour Math. USSR-Izv.
\yr 1980
\vol 14
\issue 1
\pages 61--78
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\zmath{https://zbmath.org/?q=an:0427.10019|0416.10024}
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  • https://www.mathnet.ru/eng/im/v43/i1/p67
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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