We construct analogs of the classical Δ-function for quotients of the upper half plane 𝓗 by certain arithmetic triangle groups Γ coming from quaternion division algebras B. We also establish a relative integrality result concerning modular functions of the form Δ(αz)/Δ(z) for α in B⁺. We give two explicit examples at the end.
@article{bwmeta1.element.bwnjournal-article-aav84i2p97bwm,
author = {Shujuan Ji},
title = {Analogs of $\Delta$(z) for triangular Shimura curves},
journal = {Acta Arithmetica},
volume = {84},
year = {1998},
pages = {97-108},
zbl = {0913.11020},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav84i2p97bwm}
}
Shujuan Ji. Analogs of Δ(z) for triangular Shimura curves. Acta Arithmetica, Tome 84 (1998) pp. 97-108. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav84i2p97bwm/
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