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.
On Poincaré series of half-integral weight
On the number of zeros of $L-$functions attached to cusp forms of half-integral weight
Modular forms, de Rham cohomology and congruences
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