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math.NT2015
The non-ordinary locus of the TTV family of curves
Luiz Kazuo Takei
This article establishes a relation between the non-ordinary locus of the reduction mod of the TTV family of curves and the genus of certain triangular modular curves.
math.NT2015
Congruence covers of triangular modular curves and their Galois groups
Luiz Kazuo Takei
This article computes the Galois groups of congruence covers arising in the context of certain hyperbolic triangle groups. As a consequence of this computation, the genera of the r…
math.NT2011
On modular forms of weight 2 and representations of PSL(2, Z / pZ)
Luiz Takei
This is essentially a translated (and explained) version of a peper Hecke published in 1930 where he shows, for a prime q, a relation between the class number h(-q) and the represe…