We prove a strengthening of Muić’s integral non-vanishing criterion for Poincaré series on unimodular locally compact Hausdorff groups and use it to prove a result on non-vanishing of L-functions associated to cusp forms of half-integral weight.

中文翻译：

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与半积分权重的尖峰形式相关的L函数不消失

我们证明了单模局部紧Hausdorff群上Poincaré级数的Muić积分不灭准则的增强，并用它证明了与半积分权重的尖峰形式相关的L函数不灭的结果。