An effective bound of p for algebraic points on Shimura curves of Γ₀(p)-type
Keisuke Arai
Acta Arithmetica, Tome 166 (2014), p. 343-353 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

In previous articles, we showed that for number fields in a certain large class, there are at most elliptic points on a Shimura curve of Γ₀(p)-type for every sufficiently large prime number p. In this article, we obtain an effective bound for such p.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:286212 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa164-4-2,
     author = {Keisuke Arai},
     title = {An effective bound of p for algebraic points on Shimura curves of G0(p)-type},
     journal = {Acta Arithmetica},
     volume = {166},
     year = {2014},
     pages = {343-353},
     zbl = {06330479},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa164-4-2}
}

Keisuke Arai. An effective bound of p for algebraic points on Shimura curves of Γ₀(p)-type. Acta Arithmetica, Tome 166 (2014) pp. 343-353. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa164-4-2/