On certain Dirichlet series associated with automorphic forms on SL(2,\({\mathbb{C}})\)

DOI10.1007/BF01180770zbMath0585.10018MaRDI QIDQ1071049

Koichi Takase

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/155172

zbMATH Keywords

functional equationDirichlet seriesEuler productsmeromorphic continuationimaginary quadratic fieldcuspidal automorphic formbase change liftingcubic Galois extension

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)

Cites Work

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• On some Euler products. I
• Wave forms on \(O(1,q+1)\) and associated Dirichlet series
• On the Fourier coefficients of automorphic forms at various cusps and some applications to Rankin's convolution
• La conjecture de Weil. I
• Dirichlet series and automorphic forms
• On the Meromorphy of Euler Products (II)
• Formes modulaires de poids $1$
• On the Doi-Naganuma lifting associated with imaginary quadratic fields

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