On the Fundamental Periods of Hilbert Modular Forms

DOI10.2307/2154946zbMath0822.11044OpenAlexW4241822643MaRDI QIDQ4321189

Ze-Li Dou

Publication date: 25 October 1995

Full work available at URL: https://doi.org/10.2307/2154946

zbMATH Keywords

automorphic formscongruence subgroupsspecial values of \(L\)-seriesHilbert modular groupfundamental periods

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

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Cites Work

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• Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
• On the critical values of certain Dirichlet series and the periods of automorphic forms
• The special values of the zeta functions associated with Hilbert modular forms
• On the critical values of \(L\)-functions of \(GL(2)\) and \(GL(2)\times GL(2)\)
• On the cohomology groups attached to certain vector valued differential forms on the product of the upper half planes
• Stable and 𝐿²-cohomology of arithmetic groups