Open Access
January 2006 Hecke's theory and the Selberg class
Jerzy Kaczorowski, Giuseppe Molteni, Alberto Perelli, Jörn Steuding, Jürgen Wolfart
Funct. Approx. Comment. Math. 35: 183-193 (January 2006). DOI: 10.7169/facm/1229442622

Abstract

Roughly speaking, we prove that the Hecke $L$-functions associated with the cusp forms of the Hecke groups $\mathsf{G}(\lambda)$ belong to the extended Selberg class, and for $\lambda \leq 2$ we characterize the Hecke $L$-functions belonging to the Selberg class.

Citation

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Jerzy Kaczorowski. Giuseppe Molteni. Alberto Perelli. Jörn Steuding. Jürgen Wolfart. "Hecke's theory and the Selberg class." Funct. Approx. Comment. Math. 35 183 - 193, January 2006. https://doi.org/10.7169/facm/1229442622

Information

Published: January 2006
First available in Project Euclid: 16 December 2008

zbMATH: 1196.11069
MathSciNet: MR2206240
Digital Object Identifier: 10.7169/facm/1229442622

Subjects:
Primary: 11F66
Secondary: 11M41

Keywords: Hecke theory , Selberg class

Rights: Copyright © 2006 Adam Mickiewicz University

Vol.35 • January 2006
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