The Belyi Characterization of a Class of Modular Curves
Khashayar Filom1
1 Department of Mathematical Sciences Sharif University of Technology Tehran, Iran
Journal de théorie des nombres de Bordeaux, Volume 30 (2018) no. 2, pp. 409-429.

A class of modular curves is characterized by the existence of certain pairs of Belyi functions which generate their function fields. Applications to the modular equation and the computation of special values of the j-function are given.

Une classe de courbes modulaires est caractérisée par l’existence de certains couples de fonctions de Belyi qui engendrent leurs corps des fonctions. Des applications à l’équation modulaire et au calcul de valeurs spéciales de la fonction j sont données.

Received:
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Accepted:
Published online:
DOI: 10.5802/jtnb.1031
Classification: 14H57, 11F03, 14Q05
Keywords: dessins d’enfants, Belyi functions, modular curves, modular equation
Khashayar Filom 1

1 Department of Mathematical Sciences Sharif University of Technology Tehran, Iran
License: CC-BY-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Khashayar Filom. The Belyi Characterization of a Class of Modular Curves. Journal de théorie des nombres de Bordeaux, Volume 30 (2018) no. 2, pp. 409-429. doi : 10.5802/jtnb.1031. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1031/

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