Arithmetic of the modular function $j_{1,4}$
Tom 84 / 1998
Acta Arithmetica 84 (1998), 129-143
DOI: 10.4064/aa-84-2-129-143
Streszczenie
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.
