Non-Vanishing of Weight k Modular L-Functions with Large Level
نویسنده
چکیده
We will establish lower bounds in terms of the level for the number of holomorphic cusp forms of weight k > 2 whose various L-functions do not vanish at the central critical point. This work generalizes the work of W. Duke [1] which was for the case of weight 2.
منابع مشابه
Non-Vanishing of Modular L-Functions on a Disc
This paper studies non-vanishing of L-functions associated to holomorphic cusp forms of weight k and level N at various points inside the critical strip. We will establish lower bounds in terms of level for the number of holomorphic cusp forms whose twisted L-functions with a fixed Dirichlet character do not vanish on a certain disc inside the critical strip.
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