Normal congruence subgroups of the Hecke groupsG(2(1∕2)) andG(3(1∕2))

The Riemann Zeta-Function and Hecke Congruence Subgroups. II

which was scantly touched on in [9]. We shall proceed with an arbitrary A to a considerable extent but later restrict ourselves to the situation where αn is supported by the set of square-free integers. This is solely to avoid certain technical complexities pertaining to Kloosterman sums associated with Hecke congruence subgroups which do not appear particularly worth dealing with thoroughly, f...

SOME NORMAL SUBGROUPS OF THE EXTENDED HECKE GROUPS H(λp)

We consider the extended Hecke groupsH(λp) generated by T (z) = −1/z, S(z) = −1/(z+λp) and R(z) = 1/ z̄ with λp = 2 cos(π/p) for p ≥ 3 prime number. In this article, we study the abstract group structure of the extended Hecke groups and the power subgroups H m (λp) of H(λp). Then, we give the relations between commutator subgroups and power subgroups and also the information of interest about fr...

Hecke Eigenforms in the Cohomology of Congruence Subgroups of SL(3, ZZ)

On the Trace of Hecke Operators for Maass Forms for Congruence Subgroups Ii

Let Eλ be the Hilbert space spanned by the eigenfunctions of the nonEuclidean Laplacian associated with a positive discrete eigenvalue λ. In this paper, the trace of Hecke operators Tn acting on the space Eλ is computed for Hecke congruence subgroups Γ0(N) of non-square free level. This extends the computation of Conrey-Li [2], where only Hecke congruence subgroups Γ0(N) of square free level N ...

On the Trace of Hecke Operators for Maass Forms for Congruence Subgroups

Let Eλ be a Hilbert space, whose elements are functions spanned by the eigenfunctions of the Laplace-Beltrami operator associated with an eigenvalue λ > 0. The norm of elements in this space is given by the Petersson inner product. In this paper, the trace of Hecke operators Tn acting on the space Eλ is computed for congruence subgroups Γ0(N) of square free level, which may be considered as the...