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Voronoï summation for half-integral weight automorphic forms
Published 29 Sep 2020 in math.NT | (2009.13809v2)
Abstract: A general Vorono\"i 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 Vorono\"i summation formulae for half-integral weight modular forms and Maa{\ss} forms.
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