### Nombre d'extensions abéliennes sur Q

The aim of this paper is to give the numbers of abelian number fields with given degree and ramification indices. We describe, also, an algorithm to compute all these fields.

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The aim of this paper is to give the numbers of abelian number fields with given degree and ramification indices. We describe, also, an algorithm to compute all these fields.

In the present article, we determine explicit uniformizations of modular curves attached to triangle Fuchsian groups with cusps. Their

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