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On geometric density of Hecke eigenvalues for certain cusp forms

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Abstract

In this paper we prove certain density results for Hecke eigenvalues as well as we give estimates on the length of modules for Hecke algebra acting on the cusp forms constructed out of Poincaré series for a semisimple group G over a number field k. The cusp forms discusses here are taken from Muić (Math Ann 343:207–227, 2009) and they generalize usual cuspidal modular forms S k (Γ) of weight k ≥ 3 for a Fuchsian group Γ (Muić, in On the cuspidal modular forms for the Fuchsian groups of the first kind).

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  1. Department of Mathematics, University of Zagreb, Bijenička 30, 10000, Zagreb, Croatia

    Goran Muić

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  1. Goran Muić
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Correspondence to Goran Muić.

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Muić, G. On geometric density of Hecke eigenvalues for certain cusp forms. Math. Ann. 347, 479–498 (2010). https://doi.org/10.1007/s00208-009-0444-3

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  • DOI: https://doi.org/10.1007/s00208-009-0444-3

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