Eine arithmetische Eigenschaft automorpher Formen zu gewissen nicht- arithmetischen Gruppen

DOI10.1007/BF01474165zbMath0486.10020MaRDI QIDQ1164659

Wolfart, Jürgen

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/163686

zbMATH Keywords

transcendenceautomorphic formsrationalityFourier expansionsarithmetic propertiesFuchsian triangle groupnon-arithmetic groups

Mathematics Subject Classification ID

Automorphic forms, one variable (11F12)

Related Items

Fuchsian triangle groups and Grothendieck dessins. Variations on a theme of Belyi, Algebraic representations of Teichmüller space, Length spectra of the Hecke triangle groups, Modular embeddings of Teichmüller curves, Special values of modular functions on Hecke groups, \(p\)-adic interpolation of Taylor coefficients of modular forms, Entire spacelike hypersurfaces of constant Gauß curvature in Minkowski space, Automorphic forms for triangle groups: integrality properties, Taylorentwicklungen automorpher Formen und ein Transzendenzproblem aus der Uniformisierungstheorie, Fourier coefficients of Eisenstein series on non-congruence subgroups, Der Überlagerungsradius gewisser algebraischer Kurven und die Werte der Betafunktion an rationalen Stellen, Modular knots, automorphic forms, and the Rademacher symbols for triangle groups, Dreiecksgruppen mit Spitzen in quadratischen Zahlkörpern. (Triangle groups with cusps in quadratic number fields)

Cites Work

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• On some arithmetic properties of modular forms of one and several variables
• Arithmetic triangle groups
• Some applications of Kronecker's limit formulas
• Note on the Schwarz triangle functions
• On the Fourier coefficients of triangle functions
• On Hsiao's conjecture on Hecke groups.
• Graduierte Algebren automorpher Formen zu Dreiecksgruppen
• Transzendente Zahlen als Fourierkoeffizienten von Heckes Modulformen
• On the units of cyclotomic fields
• Linear forms in the logarithms of algebraic numbers (II)
• Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung