Non-vanishing of $L$ -functions associated to cusp forms of half-integral weight

preprint2013arXivOpen access

In this article, we prove non-vanishing results for $L$ -functions associated to holomorphic cusp forms of half-integral weight on average (over an orthogonal basis of Hecke eigenforms). This extends a result of W. Kohnen to forms of half-integral weight.

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Non-vanishing of $L$ -functions associated to cusp forms of half-integral weight

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Non-vanishing of LLL-functions associated to cusp forms of half-integral weight

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Non-vanishing of $L$ -functions associated to cusp forms of half-integral weight