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arXiv · 2009.13809

Voronoï summation for half-integral weight automorphic forms

Edgar Assing·Andrew Corbett
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Abstract

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

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Edgar Assing, Andrew Corbett. 2020-10-17. Voronoï summation for half-integral weight automorphic forms. https://arxiv.org/abs/2009.13809

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