On the second L-functions attached to Hilbert modular forms

DOI10.1007/BF01451419zbMath0529.10031MaRDI QIDQ787190

Shin-ichiro Mizumoto

Publication date: 1984

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163931

zbMATH Keywords

algebraicityholomorphic continuationFourier expansions of Poincare seriessums of Kloosterman sumssymmetric square L-function

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)

Related Items

KERNEL FUNCTIONS OF THE TWISTED SYMMETRIC SQUARE OF ELLIPTIC MODULAR FORMS, Beyond Endoscopy and special forms on GL(2), Special values of triple product \(L\)-functions and nearly holomorphic Eisenstein series, An explicit trace formula of Jacquet-Zagier type for Hilbert modular forms, Unnamed Item, Poles and residues of standard L-functions attached to Siegel modular forms, On Petersson norms for some liftings

Cites Work

• Poincarésche und Eisensteinsche Reihen zur Hilbertschen Modulgruppe
• Über die Werte der Dedekindschen Zetafunktion
• Congruences between Siegel modular forms of degree two
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• The special values of the zeta functions associated with Hilbert modular forms
• On Eisenstein series of degree two for Hilbert-Siegel modular groups
• On discontinuous groups operating on the product of the upper half planes
• Über die Darstellung der ganzen Spitzenformen zu den Idealstufen der Hilbertschen Modulgruppe und die Abschätzung ihrer Fourierkoeffizienten
• Special Values of Zeta Functions, and Eisenstein Series of Half Integral Weight
• On the Holomorphy of Certain Dirichlet Series
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
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