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arXiv · 1312.4672

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

B. Ramakrishnan·Karam Deo Shankhadhar
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Abstract

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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B. Ramakrishnan, Karam Deo Shankhadhar. 2013-12-17. Non-vanishing of $L$-functions associated to cusp forms of half-integral weight. https://arxiv.org/abs/1312.4672

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