engleski

On Geometric Density of Hecke Eigenvalues for Certain Cusp Forms

In the paper are proved certain density results for Hecke eigenvalues and also are given estimates on the length of modules for Hecke algebra acting on the cusp forms constructed out of Poincare series for a semisimple group G over a number field k. The cusp forms discusses in this paper are taken from an earlier paper of the author, and they generalize usual cuspidal modular forms Sk(Γ) of weight k ≥ 3 for a Fuchsian group Γ.

semisimple group ; number field ; cusp forms ; Hecke operators

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