Deux théorèmes de non-annulation de valeurs spéciales de fonctions L
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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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