Small spanning sets of cusp forms

DOI10.1007/BF01461009zbMath0834.11020OpenAlexW2032267222MaRDI QIDQ1906494

Peter H. Hertling

Publication date: 31 March 1996

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

Full work available at URL: https://eudml.org/doc/165385

zbMATH Keywords

generatorsFuchsian group of the first kindspaces of cusp formshyperbolic Poincaré seriesfinite spanning sets

Mathematics Subject Classification ID

Automorphic forms, one variable (11F12) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Cites Work

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• Closed geodesics, periods and arithmetic of modular forms
• Eichler-Shimura homology and the finite generation of cusp forms by hyperbolic Poincaré series
• Harmonic differentials and closed geodesics on a Riemann surface
• The Fenchel-Nielsen deformation
• Zur analytischen Theorie der Grenzkreisgruppen. V: Theorie der Poincaréschen Reihen zu den hyperbolischen Fixpunktpaaren bei beliebigen Grenzkreisgruppen
• Binary quadratic forms and the Fourier coefficients of elliptic and Jacobi modular forms.
• Spherical Polynomials and the Periods of a Certain Modular Form
• Eichler-Shimura Homology, Intersection Numbers and Rational Structures on Spaces of Modular Forms
• Finite spanning sets for cusp forms and a related geometric result.
• Monodromy groups and Poincaré series

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