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On Dirichlet series attached to cusp forms and the Siegel-zero

Published online by Cambridge University Press:  18 May 2009

F. Grupp
Affiliation:
Universität Ulm, Abteilung für Mathematik, Oberer Eselsberg, D-7900 Ulm
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Let k be an even integer greater than or equal to 12 and f an nonzero cusp form of weight k on SL(2, Z). We assume, further, that f is an eigenfunction for all Hecke-Operators and has the Fourier expansion

For every Dirichlet character xmod Q we define

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1984