Kocher-Maaß-series for modular forms of quaternions

DOI10.1007/BF02568507zbMath0698.10019MaRDI QIDQ912142

Aloys Krieg

Publication date: 1990

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155483

zbMATH Keywords

functional equationDirichlet seriesmeromorphic continuationHecke eigenformpolesresiduesEuler product expansionMaa spacemodular forms of quaternions

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (3)

An explicit formula of the Koecher-Maass series associated with Hermitian modular forms belonging to the Maass space ⋮ Representations of rank 2 Jordan algebras and associated zeta functions ⋮ Zeta functions of Jordan algebra representations

Cites Work

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• Dirichlet series corresponding to Siegel's modular forms of degree n with level N
• Modular forms on half-spaces of quaternions
• The Maaß-space on the half-space of quaternions of degree 2
• The Hecke-algebras related to the unimodular and modular group over the Hurwitz order of integral quaternions
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• Zum Darstellungssatz für Siegelsche Modulformen
• Hecke operators with respect to the modular group of quaternions
• Modular forms of degree two and Dirichlet series
• Generalization of Hecke's Correspondence to Siegel Modular Forms
• Über Dirichlet-Reihen mit Funktionalgleichung.
• The Maaß space and Hecke operators

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