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Fuchsian groups, automorphic functions and Schwarzians

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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.

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Authors and Affiliations

  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

    John McKay

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

    Abdellah Sebbar

Authors
  1. John McKay
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  2. Abdellah Sebbar
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Received April 8, 1999 / Revised January 10, 2000 / Published online July 20, 2000

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McKay, J., Sebbar, A. Fuchsian groups, automorphic functions and Schwarzians. Math Ann 318, 255–275 (2000). https://doi.org/10.1007/s002080000116

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  • DOI: https://doi.org/10.1007/s002080000116

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