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Fuchsian groups, automorphic functions and Schwarzians
Authors:John McKay  Abdellah Sebbar
Affiliation:(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) Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON K1N 6N5, Canada (e-mail: sebbar@mathstat.uottawa.ca), CA
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. Received April 8, 1999 / Revised January 10, 2000 / Published online July 20, 2000
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