2008
DOI: 10.4310/pamq.2008.v4.n4.a6
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On Local Constants Associated to Arithmetical Automorphic Function

Abstract: This article deals with the diophantine nature of the local constants associated to automorphic functions with respect to Fuchsian groups obtained from quaternion algebras. We focus on the canonical model of those curves arising from the quaternion Q-algebra of discriminant D = 6.

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Cited by 2 publications
(4 citation statements)
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“…We follow Bayer [2], Bayer and Travesa [3,4], and Baba and Granath [1]; for further detail, we refer to these articles.…”
Section: Examplementioning
confidence: 99%
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“…We follow Bayer [2], Bayer and Travesa [3,4], and Baba and Granath [1]; for further detail, we refer to these articles.…”
Section: Examplementioning
confidence: 99%
“…The Dirichlet fundamental domain D(p) is then given in Figure 2. (A slightly different fundamental domain, emphasizing the relationship to the triangle group ∆ (2,4,6), is considered by the other authors.) We have ρ = 0.447213 .…”
Section: Examplementioning
confidence: 99%
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“…In [5], the authors compute the Schwarzian differential equation for the Shimura curve of discriminant 6, and use it to deduce some results about the hauptmodul j. In [4], these results are extended to give some terms of the Taylor expansions of the j-function at the elliptic points.…”
Section: Introductionmentioning
confidence: 99%