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Mathematische Annalen

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

Fuchsian groups, automorphic functions and Schwarzians

  • John McKay
  • Abdellah Sebbar
Original article

Abstract.

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.

Keywords

Differential Operator Analytic Property Close Connection Automorphic Form Fuchsian Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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: mckay@cs.concordia.ca)CA
  2. 2.Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON K1N 6N5, Canada (e-mail: sebbar@mathstat.uottawa.ca)CA

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