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Title: Uniformization of triangle modular curves
Author: Bayer i Isant, Pilar, 1946-
Travesa i Grau, Artur
Keywords: Funcions automòrfiques
Teoria de grups
Automorphic functions
Group theory
Issue Date: 2007
Publisher: Universitat Autònoma de Barcelona
Abstract: In the present article, we determine explicit uniformizations of modular curves attached to triangle Fuchsian groups with cusps. Their Hauptmoduln are obtained by integration of non-linear differential equations of the third order. Series expansions involving integral coefficients are calculated around the cusps as well as around the elliptic points. The method is an updated form of a differential construction of the elliptic modular function j, first performed by Dedekind in 1877. Subtle differences between automorphic functions with respect to conjugate Fuchsian groups become apparent.
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It is part of: Publicacions Matemàtiques, 2007, vol. Extra volume, p. 43-106
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ISSN: 0214-1493
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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