Geodesic
Arithmetic of the modular function $j_{1,4}$
Acta Arithmetica, Tome 84 (1998) no. 2, pp. 129-143 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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. 
@article{10_4064_aa_84_2_129_143,
     author = {Chang Kim and Ja Koo},
     title = {Arithmetic of the modular function $j_{1,4}$},
     journal = {Acta Arithmetica},
     pages = {129--143},
     year = {1998},
     volume = {84},
     number = {2},
     doi = {10.4064/aa-84-2-129-143},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa-84-2-129-143/}
}
TY  - JOUR
AU  - Chang Kim
AU  - Ja Koo
TI  - Arithmetic of the modular function $j_{1,4}$
JO  - Acta Arithmetica
PY  - 1998
SP  - 129
EP  - 143
VL  - 84
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa-84-2-129-143/
DO  - 10.4064/aa-84-2-129-143
LA  - en
ID  - 10_4064_aa_84_2_129_143
ER  - 
%0 Journal Article
%A Chang Kim
%A Ja Koo
%T Arithmetic of the modular function $j_{1,4}$
%J Acta Arithmetica
%D 1998
%P 129-143
%V 84
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/aa-84-2-129-143/
%R 10.4064/aa-84-2-129-143
%G en
%F 10_4064_aa_84_2_129_143
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

Cité par Sources :