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.
@article{bwmeta1.element.bwnjournal-article-aav84i2p129bwm,
author = {Chang Heon Kim and Ja Kyung Koo},
title = {Arithmetic of the modular function $j\_{1,4}$
},
journal = {Acta Arithmetica},
volume = {84},
year = {1998},
pages = {129-143},
zbl = {0907.11014},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav84i2p129bwm}
}
Chang Heon Kim; Ja Kyung Koo. Arithmetic of the modular function $j_{1,4}$
. Acta Arithmetica, Tome 84 (1998) pp. 129-143. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav84i2p129bwm/
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