Arithmetic of the modular function
Chang Heon Kim, Ja Kyung Koo (1998)
Acta Arithmetica
Similarity:
We find a generator of the function field on the modular curve X₁(4) by means of classical theta functions θ₂ and θ₃, and estimate the normalized generator which becomes the Thompson series of type 4C. With these modular functions we investigate some number theoretic properties.