Roughly speaking, we prove that the Hecke L-functions associated with the cusp forms of the Hecke groups G(λ) belong to the extended Selberg class, and for λ ≤ 2 we characterize the Hecke L-functions belonging to the Selberg class.
Hecke's theory and the Selberg class / J. Kaczorowski, G. Molteni, A. Perelli, J. Steuding, J. Wolfart. - In: FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI. - ISSN 0208-6573. - 35:(2006), pp. 183-193. [10.7169/facm/1229442622]
Hecke's theory and the Selberg class
G. Molteni;
2006
Abstract
Roughly speaking, we prove that the Hecke L-functions associated with the cusp forms of the Hecke groups G(λ) belong to the extended Selberg class, and for λ ≤ 2 we characterize the Hecke L-functions belonging to the Selberg class.
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