Quotients of Theta Series as Rational Functions of J and ?.
On the singular Drinfeld modules of rank 2.
Arithmetic of the modular function
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.
Generation of class fields by the modular function
Function fields of certain arithmetic curves and application
Algebraic integers as values of elliptic functions
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