, Volume 318, Issue 2, pp 255-275

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.

Received April 8, 1999 / Revised January 10, 2000 / Published online July 20, 2000