Geodesic
Arithmetic of the modular function $j_{1,4}$
Acta Arithmetica, Tome 84 (1998) no. 2, pp. 129-143.

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We find a generator $j_{1,4}$ of the function field on the modular curve X₁(4) by means of classical theta functions θ₂ and θ₃, and estimate the normalized generator $N(j_{1,4})$ which becomes the Thompson series of type 4C. With these modular functions we investigate some number theoretic properties.
DOI : 10.4064/aa-84-2-129-143

Chang Kim 1 ; Ja Koo 1

1 
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Chang Kim; Ja Koo. Arithmetic of the modular function $j_{1,4}$. Acta Arithmetica, Tome 84 (1998) no. 2, pp. 129-143. doi : 10.4064/aa-84-2-129-143. http://geodesic.mathdoc.fr/articles/10.4064/aa-84-2-129-143/

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