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arxiv: 1809.10390 · v1 · pith:BZWJVASYnew · submitted 2018-09-27 · 🧮 math.NT

On the non-vanishing of L-functions associated to cusp forms of half-integral weight

classification 🧮 math.NT
keywords non-vanishingassociatedcuspformshalf-integrall-functionsproveweight
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We prove a strengthening of Mui\'c's integral non-vanishing criterion for Poincar\'e 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.

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