Vorono\"i summation for half-integral weight automorphic forms
2020
A general Voronoi summation formula for the (metaplectic) double cover of $\text{GL}_2$ is derived via the representation theoretic framework a la Ichino--Templier. The identity is also formulated classically and used to establish Voronoi summation formulae for half-integral weight modular forms and Maas forms.
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