Abstract:
In answer to questions recently raised by Merel [Mer], we prove two non-vanishing theorems for the central value of automorphic L-functions: let p be prime and let χ be a primitive character modulo p. Then for all p large enough
1. If χ is not quadratic and even, there exists a primitive weight 2 form f of level p with .
2. If χ is quadratic and even, then there exists a primitive weight 2 form f of level p with .
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Received: 12 March 2000 / Revised version: 26 September 2000
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Kowalski, E., Michel, P. Deux théorèmes de non-annulation de valeurs spéciales de fonctions L. manuscripta math. 104, 1–19 (2001). https://doi.org/10.1007/s002290170043
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DOI: https://doi.org/10.1007/s002290170043