Journal of the Ramanujan Mathematical Society

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Non-Vanishing of Weight k Modular L-Functions with Large Level


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1 Department of Mathematics and Statistics, Concordia University 1455 de Maisonneuve Blvd. West Montreal, Quebec, H3G 1M8, Canada
     

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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 [l] which was for the case of weight 2.
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  • Non-Vanishing of Weight k Modular L-Functions with Large Level

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Authors

Amir Akbary
Department of Mathematics and Statistics, Concordia University 1455 de Maisonneuve Blvd. West Montreal, Quebec, H3G 1M8, Canada

Abstract


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 [l] which was for the case of weight 2.