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Function fields of certain arithmetic curves and application

100%

Koo J., Shin D.

Acta Arithmetica

2010

tom 141

nr 4

321-334

Generation of class fields by the modular function $j_{1,12}$

100%

Hong K., Koo J.

Acta Arithmetica

2000

tom 93

nr 3

257-291

Algebraic integers as values of elliptic functions

100%

Kim D., Koo J.

Acta Arithmetica

2001

tom 100

nr 2

105-116

Arithmetic of the modular function $j_{1,4}$

100%

Kim C., Koo J.

Acta Arithmetica

1998

tom 84

nr 2

129-143

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.

Ograniczanie wyników

4 Acta Arithmetica

4 Koo J.

1 Hong K.

1 Kim C.

1 Kim D.

1 Shin D.

1 2010

1 2001

1 2000

1 1998

Wyniki wyszukiwania

Function fields of certain arithmetic curves and application

Generation of class fields by the modular function $j_{1,12}$

Algebraic integers as values of elliptic functions

Arithmetic of the modular function $j_{1,4}$