The Belyi characterization of a class of modular curves. (English. French summary) Zbl 1453.14088

Summary: 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.


14H57 Dessins d’enfants theory
11F03 Modular and automorphic functions
14Q05 Computational aspects of algebraic curves
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