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Non-vanishing of symmetric square $L$-functions in the weight aspect

Balkanova, Olga et al.
arXiv (All) · Papers
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number-theory
We prove a new asymptotic formula for the second moment of symmetric square L-functions in the weight aspect on average. This result implies that the associated L-function is non-vanishing at the central point for at least 76.69% of holomorphic Hecke cusp forms of bounded weight, improving the previ
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