Mathematische Annalen

, Volume 318, Issue 2, pp 255–275 | Cite as

Fuchsian groups, automorphic functions and Schwarzians

  • John McKay
  • Abdellah Sebbar
Original article


In this paper, a close connection is established between the geometry of certain genus zero Fuchsian groups and the analytic properties of the automorphic forms obtained by applying a certain differential operator to the Hauptmoduls of the groups.


Differential Operator Analytic Property Close Connection Automorphic Form Fuchsian Group 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • John McKay
    • 1
  • Abdellah Sebbar
    • 2
  1. 1.Department of Mathematics and CICMA, Concordia University, 1455 de Maisonneuve Blvd. West, Montreal, Quebec H3G 1M8, Canada (e-mail:
  2. 2.Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON K1N 6N5, Canada (e-mail:

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