On the theory of Hilbert modular functions. I: Arithmetic groups and Eisenstein series

DOI10.1016/0021-8693(84)90190-XzbMath0549.10021OpenAlexW1972680206MaRDI QIDQ800403

Walter L. jun. Baily

Publication date: 1984

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90190-x

zbMATH Keywords

Eisenstein seriescomplex multiplicationarithmetic groupsholomorphic modular formsadèle groupmaximal arithmetic groupsmaximality of discrete groups of holomorphic automorphismsreciprocity laws for special values of Hilbert modular functions

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Global ground fields in algebraic geometry (14G25) 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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On the proof of the reciprocity law for arithmetic Siegel modular functions ⋮ Maximal arithmetic groups: A correction ⋮ Hyperbolic equidistribution problems on Siegel 3-folds and Hilbert modular varieties

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