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

B. Ramakrishnan; Karam Deo Shankhadhar

arxiv: 1312.4672 · v1 · pith:L55JBMKEnew · submitted 2013-12-17 · 🧮 math.NT

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

B. Ramakrishnan , Karam Deo Shankhadhar This is my paper

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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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